On the public citation graph
Global Existence and Blow-Up Phenomena for the Degasperis-Procesi Equation
0 signed · 356 inferred · view as graph
Inferred edges come from two machine sources: sweeps of open repository metadata (mostly SSRN and Zenodo), and a bulk OpenAlex citation snapshot. Every row below is labelled with the one it came from. Neither is a complete citation index — absence here is not evidence of absence.
Is this your work? Sign in with ORCID and put your name on the
claims that are yours.
Reference health. See whether every reference in this work resolves to a
known work and none has been retracted — and get a dated CiteStamped
badge you can embed.
What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1002/(sici)1097-0312(199908)52:8<949::aid-cpa3>3.0.co;2-dopenalex-snapshot
A shallow water equation on the circle
inferredcites →https://doi.org/10.1002/(sici)1097-0312(200005)53:5<603::aid-cpa3>3.0.co;2-lopenalex-snapshot
Stability of peakons
inferredcites →https://doi.org/10.1002/1097-0312(200011)53:11<1411::aid-cpa4>3.0.co;2-5openalex-snapshot
On the weak solutions to a shallow water equation
inferredcites →https://doi.org/10.1002/cpa.3160460405openalex-snapshot
Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principle
inferredcites →https://doi.org/10.1006/aima.1998.1768openalex-snapshot
Acoustic Scattering and the Extended Korteweg– de Vries Hierarchy
inferredcites →https://doi.org/10.1006/jdeq.1999.3683openalex-snapshot
Well-posedness and Blow-up Solutions for an Integrable Nonlinearly Dispersive Model Wave Equation
inferredcites →https://doi.org/10.1007/bf01170373openalex-snapshot
Model equations for nonlinear dispersive waves in a compressible Mooney-Rivlin rod
inferredcites →https://doi.org/10.1007/bf02392586openalex-snapshot
Wave breaking for nonlinear nonlocal shallow water equations
inferredcites →https://doi.org/10.1007/bfb0067080openalex-snapshot
Quasi-linear equations of evolution, with applications to partial differential equations
inferredcites →https://doi.org/10.1007/bfb0069806openalex-snapshot
Integrable systems and algebraic curves
inferredcites →https://doi.org/10.1007/s00014-003-0785-6openalex-snapshot
Geodesic flow on the diffeomorphism group of the circle
inferredcites →https://doi.org/10.1007/s00205-006-0010-zopenalex-snapshot
Global Conservative Solutions of the Camassa–Holm Equation
inferredcites →https://doi.org/10.1007/s00208-006-0768-1openalex-snapshot
Global existence and blow-up solutions for a nonlinear shallow water equation
inferredcites →https://doi.org/10.1007/s002200050801openalex-snapshot
Global Weak Solutions for a Shallow Water Equation
inferredcites →https://doi.org/10.1007/s00332-002-0517-xopenalex-snapshot
Stability of the Camassa-Holm solitons
inferredcites →https://doi.org/10.1007/s00332-006-0803-3openalex-snapshot
Formation and Dynamics of Shock Waves in the Degasperis-Procesi Equation
inferredcites →https://doi.org/10.1016/0167-2789(81)90004-xopenalex-snapshot
Symplectic structures, their Bäcklund transformations and hereditary symmetries
inferredcites →https://doi.org/10.1016/j.chaos.2003.09.043openalex-snapshot
Periodic and solitary-wave solutions of the Degasperis–Procesi equation
inferredcites →https://doi.org/10.1016/j.jfa.2003.07.010openalex-snapshot
Global weak solutions for a new periodic integrable equation with peakon solutions
inferredcites →https://doi.org/10.1016/j.jfa.2005.07.008openalex-snapshot
On the well-posedness of the Degasperis–Procesi equation
inferredcites →https://doi.org/10.1016/j.jfa.2006.03.022openalex-snapshot
Global weak solutions and blow-up structure for the Degasperis–Procesi equation
inferredcites →https://doi.org/10.1016/j.jmaa.2004.11.038openalex-snapshot
Traveling wave solutions of the Degasperis–Procesi equation
inferredcites →https://doi.org/10.1016/j.jmaa.2005.03.001openalex-snapshot
Infinite propagation speed for the Degasperis–Procesi equation
inferredcites →https://doi.org/10.1016/j.physleta.2004.06.027openalex-snapshot
Blow-up phenomenon for the integrable Degasperis–Procesi equation
inferredcites →https://doi.org/10.1016/s0022-247x(03)00250-6openalex-snapshot
Global existence for a new periodic integrable equation
inferredcites →https://doi.org/10.1016/s0065-2156(08)70254-0openalex-snapshot
A New Integrable Shallow Water Equation
inferredcites →https://doi.org/10.1016/s0169-5983(03)00046-7openalex-snapshot
Camassa–Holm, Korteweg–de Vries-5 and other asymptotically equivalent equations for shallow water waves
inferredcites →https://doi.org/10.1016/s0362-546x(01)00791-xopenalex-snapshot
On the Cauchy problem for the Camassa–Holm equation
inferredcites →https://doi.org/10.1016/s0375-9601(00)00255-3openalex-snapshot
Stability of a class of solitary waves in compressible elastic rods
inferredcites →https://doi.org/10.1016/s0393-0440(97)00010-7openalex-snapshot
A shallow water equation as a geodesic flow on the Bott-Virasoro group
inferredcites →https://doi.org/10.1017/s0022112001007224openalex-snapshot
Camassa–Holm, Korteweg–de Vries and related models for water waves
inferredcites →https://doi.org/10.1023/a:1021186408422openalex-snapshot
A New Integrable Equation with Peakon Solutions
inferredcites →https://doi.org/10.1063/1.1845603openalex-snapshot
Finite propagation speed for the Camassa–Holm equation
inferredcites →https://doi.org/10.1088/0266-5611/19/6/001openalex-snapshot
Multi-peakon solutions of the Degasperis–Procesi equation
inferredcites →https://doi.org/10.1088/0266-5611/21/5/004openalex-snapshot
Multisoliton solutions of the Degasperis–Procesi equation and their peakon limit
inferredcites →https://doi.org/10.1088/0305-4470/38/4/007openalex-snapshot
Conservation laws of the Camassa–Holm equation
inferredcites →https://doi.org/10.1093/imanum/drm003openalex-snapshot
Numerical schemes for computing discontinuous solutions of the Degasperis Procesi equation
inferredcites →https://doi.org/10.1098/rspa.2000.0701openalex-snapshot
On the scattering problem for the Camassa-Holm equation
inferredcites →https://doi.org/10.1103/physrevlett.71.1661openalex-snapshot
An integrable shallow water equation with peaked solitons
inferredcites →https://doi.org/10.1103/physrevlett.87.194501openalex-snapshot
An Integrable Shallow Water Equation with Linear and Nonlinear Dispersion
inferredcites →https://doi.org/10.1137/s1111111102410943openalex-snapshot
Wave Structure and Nonlinear Balances in a Family of Evolutionary PDEs
inferredcites →https://doi.org/10.1215/ijm/1258138186openalex-snapshot
On the Cauchy problem for an integrable equation with peakon solutions
inferredcites →https://doi.org/10.1512/iumj.1998.47.1466openalex-snapshot
Global weak solutions for a shallow water equation
inferredcites →https://doi.org/10.1512/iumj.2004.53.2479openalex-snapshot
Global solutions to a new integrable equation with peakons
inferredcites →https://doi.org/10.2991/jnmp.2005.12.1.2openalex-snapshot
A Note on the Degasperis-Procesi Equation
inferredcites →https://doi.org/10.5802/aif.1757openalex-snapshot
Existence of permanent and breaking waves for a shallow water equation: a geometric approach
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
inferred← citeshttps://doi.org/10.2139/ssrn.4827983openalex-extracted
Soliton Resolution For the Ostrovsky-Vakhnenko Equation
inferred← citeshttps://doi.org/10.1002/cpa.20239openalex-snapshot
Stability of peakons for the Degasperis‐Procesi equation
inferred← citeshttps://doi.org/10.1002/mana.201700038openalex-snapshot
Global weak solutions for a generalized Camassa–Holm equation
inferred← citeshttps://doi.org/10.1002/mana.202300382openalex-snapshot
On the Cauchy problem for a two‐component higher order Camassa–Holm system
inferred← citeshttps://doi.org/10.1002/mma.10029openalex-snapshot
On blow‐up phenomena for a weakly dissipative periodic two‐component b$$ b $$‐family system revisited
inferred← citeshttps://doi.org/10.1002/mma.2744openalex-snapshot
On the Cauchy problem for the two‐component b‐family system
inferred← citeshttps://doi.org/10.1002/mma.3388openalex-snapshot
Maximum principle for optimal distributed control of viscous weakly dispersive Degasperis–Procesi equation
inferred← citeshttps://doi.org/10.1002/mma.4058openalex-snapshot
Blow‐up for the b‐family of equations
inferred← citeshttps://doi.org/10.1002/mma.5805openalex-snapshot
Persistence properties and wave‐breaking criteria for the Geng‐Xue system
inferred← citeshttps://doi.org/10.1002/mma.9864openalex-snapshot
Some properties for the fifth‐order Camassa‐Holm type equation
inferred← citeshttps://doi.org/10.1007/978-3-031-57005-6_15openalex-snapshot
Global Analytic Solutions and Symmetric Waves of the 0-Equation
inferred← citeshttps://doi.org/10.1007/978-3-032-17779-7_7openalex-snapshot
Global Well-Posedness and Blow-Up for the CH-Type Equations
inferred← citeshttps://doi.org/10.1007/978-3-032-17779-7_8openalex-snapshot
Two-Component Peakon Systems
inferred← citeshttps://doi.org/10.1007/s00021-020-00511-9openalex-snapshot
Non-uniform Dependence for the Novikov Equation in Besov Spaces
inferred← citeshttps://doi.org/10.1007/s00021-022-00685-4openalex-snapshot
The Shallow-Water Models with Cubic Nonlinearity
inferred← citeshttps://doi.org/10.1007/s00021-022-00735-xopenalex-snapshot
Global Well-Posedness of a Two–Component b–Family Equations in $$H^{s-1,p}({\mathbb {R}})\times H^{s,p}({\mathbb {R}})$$
inferred← citeshttps://doi.org/10.1007/s00021-026-01020-xopenalex-snapshot
Wave breaking for the Fornberg-Whitham-Degasperis-Procesi equation
inferred← citeshttps://doi.org/10.1007/s00025-025-02575-3openalex-snapshot
Breaking Waves for a Hamiltonian Regularised Burgers Equation
inferred← citeshttps://doi.org/10.1007/s00028-019-00533-5openalex-snapshot
Global existence and propagation speed for a generalized Camassa–Holm model with both dissipation and dispersion
inferred← citeshttps://doi.org/10.1007/s00028-022-00781-yopenalex-snapshot
Analytical properties for the fifth-order b-family Novikov model
inferred← citeshttps://doi.org/10.1007/s00030-025-01096-wopenalex-snapshot
Global existence and wave breaking of solutions to the dissipative Degasperis-Procesi equation with linear dispersion
inferred← citeshttps://doi.org/10.1007/s00033-020-01317-5openalex-snapshot
Wave-breaking phenomena for a weakly dissipative shallow water equation
inferred← citeshttps://doi.org/10.1007/s00033-022-01816-7openalex-snapshot
Well-posedness and blow-up for a non-local elliptic–hyperbolic system related to short-pulse equation
inferred← citeshttps://doi.org/10.1007/s00208-010-0483-9openalex-snapshot
Well-posedness and blow-up solution for a modified two-component periodic Camassa–Holm system with peakons
inferred← citeshttps://doi.org/10.1007/s00208-013-0939-9openalex-snapshot
The Hölder continuity of the solution map to the $$b$$ -family equation in weak topology
inferred← citeshttps://doi.org/10.1007/s00209-022-03124-2openalex-snapshot
Well-posedness and wave breaking for a class of integrable equations
inferred← citeshttps://doi.org/10.1007/s00211-014-0641-1openalex-snapshot
A local discontinuous Galerkin method for the Burgers–Poisson equation
inferred← citeshttps://doi.org/10.1007/s00220-014-2236-1openalex-snapshot
Qualitative Analysis for a New Integrable Two-Component Camassa–Holm System with Peakon and Weak Kink Solutions
inferred← citeshttps://doi.org/10.1007/s00220-020-03788-zopenalex-snapshot
Reducible KAM Tori for the Degasperis–Procesi Equation
inferred← citeshttps://doi.org/10.1007/s00332-006-0803-3openalex-snapshot
Formation and Dynamics of Shock Waves in the Degasperis-Procesi Equation
inferred← citeshttps://doi.org/10.1007/s00332-013-9171-8openalex-snapshot
The Properties of Solutions for a Generalized b-Family Equation with Peakons
inferred← citeshttps://doi.org/10.1007/s00332-016-9302-0openalex-snapshot
Ill-Posedness for the b-Family of Equations
inferred← citeshttps://doi.org/10.1007/s00332-024-10097-5openalex-snapshot
Local Isometric Immersions and Breakdown of Manifolds Determined by Cauchy Problems of the Degasperis–Procesi Equation
inferred← citeshttps://doi.org/10.1007/s00605-014-0673-8openalex-snapshot
The dependences on initial data for the b-family equation in critical Besov space
inferred← citeshttps://doi.org/10.1007/s00605-015-0809-5openalex-snapshot
Well-posedness and persistence property for a four-component Novikov system with peakon solutions
inferred← citeshttps://doi.org/10.1007/s00605-015-0825-5openalex-snapshot
Infinite propagation speed and asymptotic behavior for a two-component Degasperis–Procesi system
inferred← citeshttps://doi.org/10.1007/s00605-020-01371-1openalex-snapshot
Blow-up phenomena and local well-posedness for a generalized Camassa–Holm equation in the critical Besov space
inferred← citeshttps://doi.org/10.1007/s00605-021-01624-7openalex-snapshot
Wave-breaking phenomena and persistence property for a weakly dissipative shallow water equation
inferred← citeshttps://doi.org/10.1007/s00605-021-01643-4openalex-snapshot
On traveling waves of the quadratic-cubic Degasperis-Procesi equation
inferred← citeshttps://doi.org/10.1007/s00605-022-01691-4openalex-snapshot
Well-posedness and continuity properties of the Degasperis-Procesi equation in critical Besov space
inferred← citeshttps://doi.org/10.1007/s00605-023-01882-7openalex-snapshot
Ill-posedness for the two component Degasperis–Procesi equation in critical Besov space
inferred← citeshttps://doi.org/10.1007/s00605-024-01959-xopenalex-snapshot
Well-posedness of short time solutions and non-uniform dependence on the initial data for a shallow water wave model in critical Besov space
inferred← citeshttps://doi.org/10.1007/s10114-013-1419-6openalex-snapshot
The local and global existence of solutions for a generalized Camassa-Holm equation
inferred← citeshttps://doi.org/10.1007/s10231-018-0799-8openalex-snapshot
Non-uniform dependence for a generalized Degasperis–Procesi equation
inferred← citeshttps://doi.org/10.1007/s10231-024-01429-zopenalex-snapshot
Some new asymptotic behaviors of a two-component b-family equations
inferred← citeshttps://doi.org/10.1007/s10884-019-09793-8openalex-snapshot
Curvature Blow-up for the Higher-Order Camassa–Holm Equations
inferred← citeshttps://doi.org/10.1007/s10884-020-09866-zopenalex-snapshot
Wave Breaking Phenomena for the Fornberg–Whitham Equation
inferred← citeshttps://doi.org/10.1007/s10884-021-10021-5openalex-snapshot
Solvability of the Stochastic Degasperis-Procesi Equation
inferred← citeshttps://doi.org/10.1007/s10884-022-10187-6openalex-snapshot
On the Cauchy Problem for a Two-component Peakon System With Cubic Nonlinearity
inferred← citeshttps://doi.org/10.1007/s11425-010-4122-4openalex-snapshot
Travelling wave solutions of a generalized Camassa-Holm-Degasperis-Procesi equation
inferred← citeshttps://doi.org/10.1007/s12346-025-01265-3openalex-snapshot
Traveling Wave Solutions and Bifurcations for Generalized Fornberg–Whitham Equation with Parabolic Law Nonlinearity
inferred← citeshttps://doi.org/10.1007/s13324-020-00432-wopenalex-snapshot
New blow-up criterion for the Degasperis–Procesi equation with weak dissipation
inferred← citeshttps://doi.org/10.1016/j.amc.2010.06.055openalex-snapshot
Explicit peakon and solitary wave solutions for the modified Fornberg–Whitham equation
inferred← citeshttps://doi.org/10.1016/j.amc.2012.05.029openalex-snapshot
On existence and uniqueness of the global weak solution for a shallow water equation
inferred← citeshttps://doi.org/10.1016/j.amc.2015.03.003openalex-snapshot
Rigorous derivation and propagation speed property for a two-component Degasperis–Procesi system in shallow water regimes
inferred← citeshttps://doi.org/10.1016/j.aml.2023.108820openalex-snapshot
Remarks on strong global solutions of the b -equation
inferred← citeshttps://doi.org/10.1016/j.aml.2023.108883openalex-snapshot
Analytic regularity of global solutions for the b -equation
inferred← citeshttps://doi.org/10.1016/j.aml.2026.110159openalex-snapshot
Local-in-space wave breaking criterion for a generalized Degasperis-Procesi equation
inferred← citeshttps://doi.org/10.1016/j.bulsci.2025.103725openalex-snapshot
Well-posedness and non-uniform dependence for a generalized two-component Camassa-Holm-type system with high-order nonlinearities and multi-peakons in Besov spaces
inferred← citeshttps://doi.org/10.1016/j.camwa.2010.08.094openalex-snapshot
Global existence of weak solutions for a shallow water equation
inferred← citeshttps://doi.org/10.1016/j.cnsns.2010.12.039openalex-snapshot
Self-similar blowup solutions to the 2-component Degasperis–Procesi shallow water system
inferred← citeshttps://doi.org/10.1016/j.cnsns.2026.110092openalex-snapshot
Blow-up phenomena and shockpeakon for the periodic problem of a generalized Degasperis-Procesi equation with both dissipation and dispersion
inferred← citeshttps://doi.org/10.1016/j.jcp.2009.07.022openalex-snapshot
An operator splitting method for the Degasperis–Procesi equation
inferred← citeshttps://doi.org/10.1016/j.jde.2009.01.032openalex-snapshot
Some properties of solutions to the weakly dissipative Degasperis–Procesi equation
inferred← citeshttps://doi.org/10.1016/j.jde.2010.03.008openalex-snapshot
Global solutions and blow-up phenomena to a shallow water equation
inferred← citeshttps://doi.org/10.1016/j.jde.2011.08.003openalex-snapshot
On the Cauchy problem for a two-component Degasperis–Procesi system
inferred← citeshttps://doi.org/10.1016/j.jde.2011.08.020openalex-snapshot
Well-posedness and blow-up phenomena for a higher order shallow water equation
inferred← citeshttps://doi.org/10.1016/j.jde.2015.02.005openalex-snapshot
Global existence and local well-posedness for a three-component Camassa–Holm system with N-peakon solutions
inferred← citeshttps://doi.org/10.1016/j.jde.2015.03.014openalex-snapshot
Stability in the energy space of the sum of N peakons for the Degasperis–Procesi equation
inferred← citeshttps://doi.org/10.1016/j.jde.2016.08.027openalex-snapshot
Wave-breaking phenomena for the nonlocal Whitham-type equations
inferred← citeshttps://doi.org/10.1016/j.jde.2016.08.029openalex-snapshot
Non-uniform dependence on initial data for the modified μ-Camassa–Holm equation
inferred← citeshttps://doi.org/10.1016/j.jde.2016.08.031openalex-snapshot
Remarks on the well-posedness of Camassa–Holm type equations in Besov spaces
inferred← citeshttps://doi.org/10.1016/j.jde.2016.09.027openalex-snapshot
Blow-up phenomena and persistence property for the modified b-family of equations
inferred← citeshttps://doi.org/10.1016/j.jde.2018.09.003openalex-snapshot
On the integrability of Degasperis–Procesi equation: Control of the Sobolev norms and Birkhoff resonances
inferred← citeshttps://doi.org/10.1016/j.jde.2018.11.018openalex-snapshot
Blow-up phenomena and peakons for the b-family of FORQ/MCH equations
inferred← citeshttps://doi.org/10.1016/j.jde.2019.03.022openalex-snapshot
The global Gevrey regularity and analyticity of a two-component shallow water system with higher-order inertia operators
inferred← citeshttps://doi.org/10.1016/j.jde.2020.03.045openalex-snapshot
On the orbital stability of the Degasperis-Procesi antipeakon-peakon profile
inferred← citeshttps://doi.org/10.1016/j.jde.2020.10.007openalex-snapshot
Global-in-time solvability and blow-up for a non-isospectral two-component cubic Camassa-Holm system in a critical Besov space
inferred← citeshttps://doi.org/10.1016/j.jde.2021.01.041openalex-snapshot
New wave-breaking criteria for the Fornberg-Whitham equation
inferred← citeshttps://doi.org/10.1016/j.jde.2022.12.016openalex-snapshot
On wave-breaking for the two-component Fornberg–Whitham system
inferred← citeshttps://doi.org/10.1016/j.jde.2023.02.023openalex-snapshot
Blow-up data for a two-component Camassa-Holm system with high order nonlinearity
inferred← citeshttps://doi.org/10.1016/j.jde.2023.11.009openalex-snapshot
Weak solution for stochastic Degasperis-Procesi equation
inferred← citeshttps://doi.org/10.1016/j.jde.2024.08.035openalex-snapshot
Local-in-space wave breaking criteria for a generalized rod equation
inferred← citeshttps://doi.org/10.1016/j.jde.2024.09.022openalex-snapshot
Improved blow-up criteria for some Camassa-Holm type equations
inferred← citeshttps://doi.org/10.1016/j.jde.2025.113297openalex-snapshot
Sharp ill-posedness and global well-posedness for the b-equation
inferred← citeshttps://doi.org/10.1016/j.jde.2025.113311openalex-snapshot
Spectral instability of periodic peaked waves in the μ-b-family of Camassa-Holm equations
inferred← citeshttps://doi.org/10.1016/j.jde.2025.113685openalex-snapshot
Soliton resolution and asymptotic stability of N-solitons to the Degasperis-Procesi equation on the line
inferred← citeshttps://doi.org/10.1016/j.jde.2025.113688openalex-snapshot
Strong solutions and wave breaking for a class of nonlinear shallow water wave equations
inferred← citeshttps://doi.org/10.1016/j.jde.2026.114708openalex-snapshot
Peakon solutions and analytical properties for the Camassa–Holm-type equations with quadratic nonlinearities
inferred← citeshttps://doi.org/10.1016/j.jde.2026.114796openalex-snapshot
A note on blow-up criterion of solutions to a Fornberg-Whitham-type equation
inferred← citeshttps://doi.org/10.1016/j.jfa.2006.03.022openalex-snapshot
Global weak solutions and blow-up structure for the Degasperis–Procesi equation
inferred← citeshttps://doi.org/10.1016/j.jfa.2008.07.010openalex-snapshot
Initial boundary value problems for nonlinear dispersive wave equations
inferred← citeshttps://doi.org/10.1016/j.jfa.2009.09.022openalex-snapshot
Initial–boundary value problems for conservation laws with source terms and the Degasperis–Procesi equation
inferred← citeshttps://doi.org/10.1016/j.jfa.2010.10.014openalex-snapshot
On the Cauchy problem for the periodic generalized Degasperis–Procesi equation
inferred← citeshttps://doi.org/10.1016/j.jfa.2012.01.009openalex-snapshot
On the blow-up structure for the generalized periodic Camassa–Holm and Degasperis–Procesi equations
inferred← citeshttps://doi.org/10.1016/j.jfa.2013.09.021openalex-snapshot
Well-posedness, wave breaking and peakons for a modified μ-Camassa–Holm equation
inferred← citeshttps://doi.org/10.1016/j.jfa.2016.01.017openalex-snapshot
Analysis on the blow-up of solutions to a class of integrable peakon equations
inferred← citeshttps://doi.org/10.1016/j.jmaa.2009.06.035openalex-snapshot
On the Cauchy problem for the periodic b-family of equations and of the non-uniform continuity of Degasperis–Procesi equation
inferred← citeshttps://doi.org/10.1016/j.jmaa.2009.07.031openalex-snapshot
Global well-posedness for the Cauchy problem of the viscous Degasperis–Procesi equation
inferred← citeshttps://doi.org/10.1016/j.jmaa.2009.08.010openalex-snapshot
Global weak solutions and breaking waves to the Degasperis–Procesi equation with linear dispersion
inferred← citeshttps://doi.org/10.1016/j.jmaa.2009.10.074openalex-snapshot
Blow-up phenomena for a family of Burgers-like equations
inferred← citeshttps://doi.org/10.1016/j.jmaa.2010.08.002openalex-snapshot
Blow-up phenomena and global existence for the nonuniform weakly dissipative b-equation
inferred← citeshttps://doi.org/10.1016/j.jmaa.2010.09.012openalex-snapshot
A model containing both the Camassa–Holm and Degasperis–Procesi equations
inferred← citeshttps://doi.org/10.1016/j.jmaa.2011.01.019openalex-snapshot
On solutions to the Degasperis–Procesi equation
inferred← citeshttps://doi.org/10.1016/j.jmaa.2014.06.058openalex-snapshot
On traveling wave solutions of the θ-equation of dispersive type
inferred← citeshttps://doi.org/10.1016/j.jmaa.2014.09.032openalex-snapshot
The Cauchy problem for a two-component Novikov equation in the critical Besov space
inferred← citeshttps://doi.org/10.1016/j.jmaa.2015.08.063openalex-snapshot
Well-posedness and analytic solutions of a two-component water wave equation
inferred← citeshttps://doi.org/10.1016/j.jmaa.2019.05.046openalex-snapshot
Global solutions and blow-up phenomena for a generalized Degasperis–Procesi equation
inferred← citeshttps://doi.org/10.1016/j.jmaa.2026.130432openalex-snapshot
Global conservative solutions of a two-component b-family equations
inferred← citeshttps://doi.org/10.1016/j.jmaa.2026.130886openalex-snapshot
Approximate controllability of a generalized Camassa-Holm equation by a finite-dimensional force
inferred← citeshttps://doi.org/10.1016/j.matpur.2020.08.003openalex-snapshot
Spectral stability of smooth solitary waves for the Degasperis-Procesi equation
inferred← citeshttps://doi.org/10.1016/j.matpur.2022.05.004openalex-snapshot
Orbital stability of the sum of smooth solitons in the Degasperis-Procesi equation
inferred← citeshttps://doi.org/10.1016/j.na.2008.02.104openalex-snapshot
Persistence properties for a family of nonlinear partial differential equations
inferred← citeshttps://doi.org/10.1016/j.na.2009.04.012openalex-snapshot
Global weak solutions and wave breaking phenomena to the periodic Degasperis–Procesi equation with strong dispersion
inferred← citeshttps://doi.org/10.1016/j.na.2009.07.023openalex-snapshot
Optimal control of the viscous weakly dispersive Degasperis–Procesi equation
inferred← citeshttps://doi.org/10.1016/j.na.2010.03.006openalex-snapshot
Well-posedness and blow-up phenomena for the generalized Degasperis–Procesi equation
inferred← citeshttps://doi.org/10.1016/j.na.2011.01.001openalex-snapshot
Low-regularity solutions of the periodic general Degasperis–Procesi equation
inferred← citeshttps://doi.org/10.1016/j.na.2011.04.051openalex-snapshot
Global weak solutions to the weakly dissipative Degasperis–Procesi equation
inferred← citeshttps://doi.org/10.1016/j.na.2011.05.077openalex-snapshot
Limit behavior of the global solutions to the Degasperis–Procesi-type equation
inferred← citeshttps://doi.org/10.1016/j.na.2012.03.031openalex-snapshot
Non-uniform continuity of periodic Holm–Staley -family of equations
inferred← citeshttps://doi.org/10.1016/j.na.2012.07.001openalex-snapshot
Properties of the solutions to the two-component -family systems
inferred← citeshttps://doi.org/10.1016/j.na.2014.04.021openalex-snapshot
On the low regularity solutions and wave breaking for an equation modeling shallow water waves of moderate amplitude
inferred← citeshttps://doi.org/10.1016/j.na.2014.04.023openalex-snapshot
Optimal control of a class of nonlocal dispersive equations
inferred← citeshttps://doi.org/10.1016/j.na.2015.03.022openalex-snapshot
Local well-posedness and blow-up criteria for a two-component Novikov system in the critical Besov space
inferred← citeshttps://doi.org/10.1016/j.na.2015.07.015openalex-snapshot
On some wave breaking for the nonlinear integrable shallow water wave equations
inferred← citeshttps://doi.org/10.1016/j.na.2015.07.017openalex-snapshot
Blow-up phenomena and local well-posedness for a generalized Camassa–Holm equation in the critical Besov space
inferred← citeshttps://doi.org/10.1016/j.na.2015.11.018openalex-snapshot
A remark on the stability of peakons for the Degasperis–Procesi Equation
inferred← citeshttps://doi.org/10.1016/j.na.2016.12.003openalex-snapshot
Blow-up phenomena and local well-posedness for a generalized Camassa–Holm equation with cubic nonlinearity
inferred← citeshttps://doi.org/10.1016/j.na.2018.02.010openalex-snapshot
Blow-up issues for a two-component system modelling water waves with constant vorticity
inferred← citeshttps://doi.org/10.1016/j.na.2019.111714openalex-snapshot
Non-uniform dependence on initial data for the two-component fractional shallow water wave system
inferred← citeshttps://doi.org/10.1016/j.nonrwa.2011.06.019openalex-snapshot
On the Cauchy problem of a two-component b-family system
inferred← citeshttps://doi.org/10.1016/j.nonrwa.2013.07.006openalex-snapshot
On the global boundary stabilization of the Camassa–Holm equation
inferred← citeshttps://doi.org/10.1016/j.nonrwa.2014.06.005openalex-snapshot
Optimal distributed control of the Fornberg–Whitham equation
inferred← citeshttps://doi.org/10.1016/j.nonrwa.2015.04.001openalex-snapshot
Well-posedness, blow-up phenomena and persistence properties for a two-component water wave system
inferred← citeshttps://doi.org/10.1016/j.nonrwa.2015.09.003openalex-snapshot
Well-posedness and global existence for a generalized Degasperis–Procesi equation
inferred← citeshttps://doi.org/10.1016/j.nonrwa.2018.04.005openalex-snapshot
On the finite time singularities for a class of Degasperis–Procesi equations
inferred← citeshttps://doi.org/10.1016/j.nonrwa.2018.06.004openalex-snapshot
On the blow-up of solutions for the Fornberg–Whitham equation
inferred← citeshttps://doi.org/10.1016/j.nonrwa.2018.07.032openalex-snapshot
Wave breaking and global existence for a family of peakon equations with high order nonlinearity
inferred← citeshttps://doi.org/10.1016/j.nonrwa.2019.06.004openalex-snapshot
A rigidity result for the Holm–Staley b -family of equations with application to the asymptotic stability of the Degasperis–Procesi peakon
inferred← citeshttps://doi.org/10.1016/j.nonrwa.2019.103069openalex-snapshot
Large time behavior for the support of momentum density of the Holm–Staley b-family equation with weakly dissipative term
inferred← citeshttps://doi.org/10.1016/j.nonrwa.2020.103227openalex-snapshot
Global solutions for the generalized Camassa–Holm equation
inferred← citeshttps://doi.org/10.1016/j.nonrwa.2021.103428openalex-snapshot
Asymptotic stability of the Degasperis–Procesi antipeakon–peakon profile
inferred← citeshttps://doi.org/10.1016/j.nonrwa.2024.104262openalex-snapshot
Wave breaking for the Degasperis–Procesi equation
inferred← citeshttps://doi.org/10.1016/j.nonrwa.2025.104462openalex-snapshot
Approximate controllability for the μ-version of the b -family Camassa–Holm equations with a finite-dimensional force
inferred← citeshttps://doi.org/10.1016/j.physd.2013.02.001openalex-snapshot
Stability of periodic peakons for the modified μ -Camassa–Holm equation
inferred← citeshttps://doi.org/10.1016/j.physd.2018.12.002openalex-snapshot
On the modeling of equatorial shallow-water waves with the Coriolis effect
inferred← citeshttps://doi.org/10.1016/j.physd.2022.133446openalex-snapshot
A view of the peakon world through the lens of approximation theory
inferred← citeshttps://doi.org/10.1016/j.physd.2023.133680openalex-snapshot
Orbital stability of smooth solitary waves for the b -family of Camassa–Holm equations
inferred← citeshttps://doi.org/10.1016/j.physd.2024.134416openalex-snapshot
Soliton resolution for the Ostrovsky–Vakhnenko equation
inferred← citeshttps://doi.org/10.1016/j.physd.2025.134996openalex-snapshot
Local-in-space wave breaking for a class of nonlocal dispersive θ -equation
inferred← citeshttps://doi.org/10.1016/j.physleta.2007.03.073openalex-snapshot
On the initial boundary value problems for the Degasperis–Procesi equation
inferred← citeshttps://doi.org/10.1016/j.physleta.2010.10.040openalex-snapshot
The limiting behavior of smooth periodic waves for the Degasperis–Procesi equation
inferred← citeshttps://doi.org/10.1016/j.rinam.2023.100373openalex-snapshot
Wave breaking phenomenon to a nonlinear equation including the Fornberg–Whitham model
inferred← citeshttps://doi.org/10.1016/j.rinam.2024.100487openalex-snapshot
Sufficient conditions of blowup to a shallow water wave equation
inferred← citeshttps://doi.org/10.1016/j.rinam.2026.100783openalex-snapshot
Wave breaking criteria for a nonlinear equation including the Fornberg–Whitham model
inferred← citeshttps://doi.org/10.1016/j.spl.2023.110000openalex-snapshot
Probabilistic global well-posedness to the nonlocal Degasperis–Procesi equation
inferred← citeshttps://doi.org/10.1016/s0252-9602(16)30037-6openalex-snapshot
Invariant subspaces and generalized functional separable solutions to the two-component b -family system
inferred← citeshttps://doi.org/10.1017/s0308210511000321openalex-snapshot
Wave-breaking phenomena, decay properties and limit behaviour of solutions of the Degasperis—Procesi equation
inferred← citeshttps://doi.org/10.1063/1.3377046openalex-snapshot
On the Cauchy problem for a generalized Degasperis–Procesi equation
inferred← citeshttps://doi.org/10.1063/1.3525585openalex-snapshot
Blow-up solutions of the general b-equation
inferred← citeshttps://doi.org/10.1063/1.3553184openalex-snapshot
Nonuniform dependence for the Cauchy problem of the general b-equation
inferred← citeshttps://doi.org/10.1063/1.4729542openalex-snapshot
An interacting system of the Camassa-Holm and Degasperis-Procesi equations
inferred← citeshttps://doi.org/10.1063/1.5087217openalex-snapshot
Local well-posedness and blow-up criteria for a three-component Camassa–Holm type equation
inferred← citeshttps://doi.org/10.1063/5.0010374openalex-snapshot
Global well-posedness and infinite propagation speed for the N − abc family of Camassa–Holm type equation with both dissipation and dispersion
inferred← citeshttps://doi.org/10.1063/5.0022863openalex-snapshot
Blow-up issues for the weakly dissipative periodic b-family of equations revisited
inferred← citeshttps://doi.org/10.1063/5.0047468openalex-snapshot
Global existence and long time behavior of the generalized Camassa–Holm equation with k + 1 degree nonlinearities
inferred← citeshttps://doi.org/10.1063/5.0132297openalex-snapshot
Orbital stability of periodic peakons for a new higher-order μ-Camassa–Holm equation
inferred← citeshttps://doi.org/10.1063/5.0247371openalex-snapshot
Global existence for two generalized two-component Camassa–Holm shallow water systems
inferred← citeshttps://doi.org/10.1080/00036811.2016.1151498openalex-snapshot
On a generalized Camassa–Holm equation with the flow generated by velocity and its gradient
inferred← citeshttps://doi.org/10.1080/00036811.2016.1267342openalex-snapshot
The Cauchy problem for a generalized Camassa–Holm equation with the velocity potential
inferred← citeshttps://doi.org/10.1080/00036811.2017.1321112openalex-snapshot
The existence of the single peaked traveling waves to the -Novikov equation
inferred← citeshttps://doi.org/10.1080/00036811.2017.1395868openalex-snapshot
Infinite propagation speed and asymptotic behavior for a generalized fifth-order Camassa–Holm equation
inferred← citeshttps://doi.org/10.1080/00036811.2018.1529306openalex-snapshot
On the Cauchy problem for a generalized Degasperis-Procesi equation
inferred← citeshttps://doi.org/10.1080/00036811.2020.1758313openalex-snapshot
The existence of global weak solutions for a generalized Camassa–Holm equation
inferred← citeshttps://doi.org/10.1080/00036811.2020.1863377openalex-snapshot
Blow-up criteria for the generalized Degasperis–Procesi equation
inferred← citeshttps://doi.org/10.1080/00036811.2022.2064853openalex-snapshot
Local and global analyticity for theμ-Novikov equation
inferred← citeshttps://doi.org/10.1080/00036811.2022.2118118openalex-snapshot
On the Cauchy problem for a weakly dissipative Camassa-Holm equation in critical Besov spaces
inferred← citeshttps://doi.org/10.1080/00036811.2024.2306874openalex-snapshot
Local-in-space wave breaking criteria for a shallow water wave equation
inferred← citeshttps://doi.org/10.1080/00036811.2024.2432518openalex-snapshot
Stability of peakons for a multi-component Novikov system
inferred← citeshttps://doi.org/10.1080/00036811.2026.2636921openalex-snapshot
Wave breaking conditions for a generalized Degasperis–Procesi equation
inferred← citeshttps://doi.org/10.1080/03605302.2014.942737openalex-snapshot
Norm Inflation and Ill-Posedness for the Degasperis-Procesi Equation
inferred← citeshttps://doi.org/10.1080/10407790.2020.1713651openalex-snapshot
An optimized compact reconstruction weighted essentially non-oscillatory scheme for Degasperis-Procesi equation
inferred← citeshttps://doi.org/10.1088/0253-6102/61/6/13openalex-snapshot
Peaked Traveling Wave Solutions to a Generalized Novikov Equation with Cubic and Quadratic Nonlinearities
inferred← citeshttps://doi.org/10.1088/0951-7715/23/10/012openalex-snapshot
Inverse scattering transform for the Degasperis–Procesi equation
inferred← citeshttps://doi.org/10.1088/0951-7715/23/2/008openalex-snapshot
On solutions to the Holm–Staleyb-family of equations
inferred← citeshttps://doi.org/10.1088/1361-6544/aa67fcopenalex-snapshot
An integrable semi-discrete Degasperis–Procesi equation
inferred← citeshttps://doi.org/10.1088/1361-6544/acac5bopenalex-snapshot
The stability of the b-family of peakon equations
inferred← citeshttps://doi.org/10.1088/1361-6544/ade10eopenalex-snapshot
Global existence and modulation analysis for the stochastic Degasperis–Procesi equation with transport noise
inferred← citeshttps://doi.org/10.1088/1572-9494/ada913openalex-snapshot
Symmetry of traveling wave solutions for a Camassa–Holm type equation with higher-order nonlinearity
inferred← citeshttps://doi.org/10.1088/1751-8121/aaa0e0openalex-snapshot
Conserved norms and related conservation laws for multi-peakon equations
inferred← citeshttps://doi.org/10.1090/conm/526/10385openalex-snapshot
Global regularity, and wave breaking phenomena in a class of nonlocal dispersive equations
inferred← citeshttps://doi.org/10.1090/proc/16087openalex-snapshot
Orbital stability of smooth solitary waves for the Degasperis-Procesi equation
inferred← citeshttps://doi.org/10.1090/s0033-569x-2011-01216-5openalex-snapshot
On the Cauchy problem for the Degasperis-Procesi equation
inferred← citeshttps://doi.org/10.1093/imrn/rnm117openalex-snapshot
On the Blow-up Phenomena for the Degasperis-Procesi Equation
inferred← citeshttps://doi.org/10.1093/imrn/rnp211openalex-snapshot
Stability of Solitary Waves and Wave-Breaking Phenomena for the Two-Component Camassa-Holm System
inferred← citeshttps://doi.org/10.1098/rspa.2013.0379openalex-snapshot
Colliding peakons and the formation of shocks in the Degasperis–Procesi equation
inferred← citeshttps://doi.org/10.1098/rspa.2020.0780openalex-snapshot
A super Degasperis–Procesi equation and related integrable systems
inferred← citeshttps://doi.org/10.1098/rsta.2007.2001openalex-snapshot
Introduction: some recent developments of nonlinear water wave theory
inferred← citeshttps://doi.org/10.1111/sapm.12149openalex-snapshot
Dressing Method for the Degasperis–Procesi Equation
inferred← citeshttps://doi.org/10.1137/07070855xopenalex-snapshot
Blow-Up and Decay of the Solution of the Weakly Dissipative Degasperis–Procesi Equation
showing the first 200 of 307 · page through all 307
Editorial review for independent work. ICSAC — the Institute for Complexity
Science and Advanced Computing — runs a structured editorial panel for researchers
publishing outside journals, and publishes on CiteStamp rails. Submission is free
and goes through ORCID: icsacinstitute.org/submit.