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Model equations for nonlinear dispersive waves in a compressible Mooney-Rivlin rod

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Nonlinear Waves in a Rod: Results for Incompressible Elastic Materials
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Solitary‐Wave Interactions in Elastic Rods
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The Theory of Rods
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Proceedings of the IUTAM Symposium on Finite Elasticity
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Nonlinear Waves in Rods
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On waves in slender elastic rods
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Nonlinear axisymmetric waves in compressible hyperelastic rods: long finite amplitude waves
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A non-linear theory of elastic directed curves
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Numerical study of the regularized long-wave equation I: Numerical methods
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Numerical schemes for a model for nonlinear dispersive waves
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Non-linear elastic deformations
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Non-linear elastic deformations
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Wave Propagation in Elastic Solids
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Solitons
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Calculations of the development of an undular bore
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Euler operators and conservation laws of the BBM equation
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A Spectral Method for Solving the RLW Equation
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On the theory of rods. I. Derivations from the three-dimensional equations
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On the theory of rods II. Developments by direct approach
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Model equations for long waves in nonlinear dispersive systems
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ASYMPTOTIC METHODS IN NONLINEAR WAVE THEORY
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Wave Propagation in Elastic Solids
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Solitary waves on nonlinear elastic rods. I
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Ultrasonic backscatter from mammalian tissues
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Solitary waves on nonlinear elastic rods. II.

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Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Symmetry analysis, conserved quantities and applications to a dissipative DGH equation
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Blow-up phenomena and peakons for the b-family of FORQ/MCH equations
inferred← citeshttps://doi.org/10.1016/j.jde.2018.12.014openalex-snapshot
Stability of peakons for the generalized modified Camassa–Holm equation
inferred← citeshttps://doi.org/10.1016/j.jde.2019.04.005openalex-snapshot
On a shallow-water model with the Coriolis effect
inferred← citeshttps://doi.org/10.1016/j.jde.2021.10.033openalex-snapshot
Geometric singular perturbation analysis to Camassa-Holm Kuramoto-Sivashinsky equation
inferred← citeshttps://doi.org/10.1016/j.jde.2023.05.026openalex-snapshot
Local well-posedness and decay for some generalized shallow water equations
inferred← citeshttps://doi.org/10.1016/j.jde.2023.10.019openalex-snapshot
The Cauchy problem of the Camassa-Holm equation in a weighted Sobolev space: Long-time and Painlevé asymptotics
inferred← citeshttps://doi.org/10.1016/j.jde.2023.12.033openalex-snapshot
Existence and uniqueness of the global conservative weak solutions for a cubic Camassa-Holm type equation
inferred← citeshttps://doi.org/10.1016/j.jde.2024.01.011openalex-snapshot
Globally conservative weak solutions for a class of nonlinear dispersive wave equations beyond wave breaking
inferred← citeshttps://doi.org/10.1016/j.jde.2024.01.029openalex-snapshot
Wave breaking phenomena for the generalized hyperelastic rod wave equation
inferred← citeshttps://doi.org/10.1016/j.jde.2024.02.012openalex-snapshot
Long-time asymptotics of the Hunter-Saxton equation on the line
inferred← citeshttps://doi.org/10.1016/j.jde.2024.05.010openalex-snapshot
Effect of random noises on pathwise solutions to the high-dimensional modified Euler-Poincaré system
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.2024.09.030openalex-snapshot
On the Cauchy problem for a combined mCH-Novikov integrable equation with linear dispersion
inferred← citeshttps://doi.org/10.1016/j.jde.2025.01.089openalex-snapshot
Globally conservative weak solutions for a class of two-component nonlinear dispersive wave equations beyond wave breaking
inferred← citeshttps://doi.org/10.1016/j.jde.2025.113355openalex-snapshot
On conservative solutions to the generalized hyperelastic-rod equation
inferred← citeshttps://doi.org/10.1016/j.jde.2025.113581openalex-snapshot
Large-space and large-time asymptotics of the Camassa-Holm soliton gas
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.2026.114462openalex-snapshot
On blow-up phenomena for a two-component generalization of hyper-elastic rod equation
inferred← citeshttps://doi.org/10.1016/j.jfa.2003.07.010openalex-snapshot
Global weak solutions for a new periodic integrable equation with peakon solutions
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.2010.06.007openalex-snapshot
Initial boundary value problem and asymptotic stabilization of the Camassa–Holm equation on an interval
inferred← citeshttps://doi.org/10.1016/j.jfa.2010.11.015openalex-snapshot
Global weak solutions for a two-component Camassa–Holm shallow water system
inferred← citeshttps://doi.org/10.1016/j.jfa.2014.02.039openalex-snapshot
On permanent and breaking waves in hyperelastic rods and rings
inferred← citeshttps://doi.org/10.1016/j.jfa.2015.06.008openalex-snapshot
Autonomous Ovsyannikov theorem and applications to nonlocal evolution equations and systems
inferred← citeshttps://doi.org/10.1016/j.jfa.2022.109454openalex-snapshot
Blow-up criteria for a two-component nonlinear dispersive wave system
inferred← citeshttps://doi.org/10.1016/j.jmaa.2003.08.006openalex-snapshot
On the blow-up of solutions of a periodic nonlinear dispersive wave equation in compressible elastic rods
inferred← citeshttps://doi.org/10.1016/j.jmaa.2003.10.017openalex-snapshot
Wave breaking for a periodic shallow water equation
inferred← citeshttps://doi.org/10.1016/j.jmaa.2005.11.050openalex-snapshot
On the blow-up of solutions to a nonlinear dispersive rod equation
inferred← citeshttps://doi.org/10.1016/j.jmaa.2006.02.045openalex-snapshot
Infinite propagation speed of the Camassa–Holm equation
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.2012.02.058openalex-snapshot
On the wave-breaking phenomena for the periodic two-component Dullin–Gottwald–Holm system
inferred← citeshttps://doi.org/10.1016/j.jmaa.2012.07.006openalex-snapshot
Symmetry properties of two-dimensional Ciarlet–Mooney–Rivlin constitutive models in nonlinear elastodynamics
inferred← citeshttps://doi.org/10.1016/j.jmaa.2013.02.030openalex-snapshot
Coupled Camassa–Holm equations, N -peakons and infinitely many conservation laws
inferred← citeshttps://doi.org/10.1016/j.jmaa.2013.04.034openalex-snapshot
Some properties of solutions to the periodic two-component hyperelastic-rod wave 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.2015.03.059openalex-snapshot
Riemann–Hilbert problem for Camassa–Holm equation with step-like initial data
inferred← citeshttps://doi.org/10.1016/j.jmaa.2016.08.035openalex-snapshot
Breaking waves and persistence property for a two-component Camassa–Holm system
inferred← citeshttps://doi.org/10.1016/j.jmaa.2017.01.080openalex-snapshot
On the curvature blow-up phenomena for the Fokas–Qiao–Xia–Li equation
inferred← citeshttps://doi.org/10.1016/j.jmaa.2018.10.012openalex-snapshot
Well-posedness of a class of solutions to an integrable two-component Camassa–Holm system
inferred← citeshttps://doi.org/10.1016/j.jmaa.2021.125423openalex-snapshot
Local well-posedness in the critical Besov space and blow-up for an n-component Camassa–Holm system
inferred← citeshttps://doi.org/10.1016/j.jmaa.2023.127338openalex-snapshot
On the classical solutions for the high order Camassa-Holm type equations
inferred← citeshttps://doi.org/10.1016/j.jmaa.2025.129679openalex-snapshot
Qualitative analysis for a two-component Camassa-Holm system with high order nonlinearity
inferred← citeshttps://doi.org/10.1016/j.joes.2022.06.004openalex-snapshot
A novel approach to study generalized coupled cubic Schrödinger–Korteweg-de Vries equations
inferred← citeshttps://doi.org/10.1016/j.matcom.2011.08.004openalex-snapshot
Numerical simulation of propagation of solitary deformation waves in a compressible hyperelastic rod
inferred← citeshttps://doi.org/10.1016/j.matcom.2014.04.012openalex-snapshot
On hidden solitons in KdV related systems
inferred← citeshttps://doi.org/10.1016/j.na.2004.02.004openalex-snapshot
Wave breaking for a shallow water equation
inferred← citeshttps://doi.org/10.1016/j.na.2006.10.003openalex-snapshot
Stabilization of a new periodic integrable equation: The Degasperis–Procesi equation
inferred← citeshttps://doi.org/10.1016/j.na.2007.06.027openalex-snapshot
The integral bifurcation method and its application for solving a family of third-order dispersive PDEs
inferred← citeshttps://doi.org/10.1016/j.na.2008.03.018openalex-snapshot
Optimal control of a nonlinear parabolic–elliptic system
inferred← citeshttps://doi.org/10.1016/j.na.2008.05.004openalex-snapshot
The attractor of a parabolic–elliptic system
inferred← citeshttps://doi.org/10.1016/j.na.2009.04.004openalex-snapshot
The global attractor of the viscous Fornberg–Whitham equation
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.2009.09.008openalex-snapshot
Global weak solutions for the Dullin–Gottwald–Holm 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.2013.10.021openalex-snapshot
On the persistence and unique continuation properties for an integrable two-component Dullin–Gottwald–Holm system
inferred← citeshttps://doi.org/10.1016/j.na.2013.11.014openalex-snapshot
An asymptotic property of the Camassa–Holm equation
inferred← citeshttps://doi.org/10.1016/j.na.2014.03.021openalex-snapshot
Blowup solutions for the generalized two-component Camassa–Holm system on the circle
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.2015.01.008openalex-snapshot
Global solutions to a special case of the generalized weakly dissipative periodic two-component Camassa–Holm system
inferred← citeshttps://doi.org/10.1016/j.na.2015.03.016openalex-snapshot
On well-posedness of two-component Camassa–Holm system in the critical Besov space
inferred← citeshttps://doi.org/10.1016/j.na.2015.07.027openalex-snapshot
Persistence properties of the solutions to a generalized two-component Camassa–Holm shallow water system
inferred← citeshttps://doi.org/10.1016/j.na.2016.04.004openalex-snapshot
Well-posedness, global existence and blow-up phenomena for an integrable multi-component Camassa–Holm system
inferred← citeshttps://doi.org/10.1016/j.na.2018.07.019openalex-snapshot
Weak well-posedness for a modified two-component Camassa–Holm system
inferred← citeshttps://doi.org/10.1016/j.na.2024.113739openalex-snapshot
On local energy decay for solutions to the b-family of peakon equations
inferred← citeshttps://doi.org/10.1016/j.nonrwa.2005.06.005openalex-snapshot
Compacton-like wave and kink-like wave of GCH equation
inferred← citeshttps://doi.org/10.1016/j.nonrwa.2008.11.021openalex-snapshot
Optimal control of the viscous Dullin–Gottwalld–Holm equation
inferred← citeshttps://doi.org/10.1016/j.nonrwa.2009.01.021openalex-snapshot
Boundary control on the viscous Fornberg–Whitham equation
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