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A comparative study of bi-directional Whitham systems
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1002/cpa.20098openalex-snapshot
Hamiltonian long‐wave expansions for free surfaces and interfaces
inferredcites →https://doi.org/10.1006/jcph.1993.1164openalex-snapshot
Numerical Simulation of Gravity Waves
inferredcites →https://doi.org/10.1007/3-540-30666-8openalex-snapshot
Geometric Numerical Integration: Structure-Preserving Algorithms for Ordinary Differential Equations
inferredcites →https://doi.org/10.1007/bf00913182openalex-snapshot
Stability of periodic waves of finite amplitude on the surface of a deep fluid
inferredcites →https://doi.org/10.1007/s00028-018-0435-5openalex-snapshot
Classical well-posedness in dispersive equations with nonlinearities of mild regularity, and a composition theorem in Besov spaces
inferredcites →https://doi.org/10.1007/s00205-018-1306-5openalex-snapshot
Existence of a Highest Wave in a Fully Dispersive Two-Way Shallow Water Model
inferredcites →https://doi.org/10.1007/s11071-016-3299-7openalex-snapshot
The Whitham equation with surface tension
inferredcites →https://doi.org/10.1016/0165-2125(94)90003-5openalex-snapshot
Hamiltonian long-wave approximations to the water-wave problem
inferredcites →https://doi.org/10.1016/0375-9601(90)90092-3openalex-snapshot
Construction of higher order symplectic integrators
inferredcites →https://doi.org/10.1016/j.apor.2019.04.026openalex-snapshot
The Whitham equation for hydroelastic waves
inferredcites →https://doi.org/10.1016/j.physd.2015.07.010openalex-snapshot
The Whitham Equation as a model for surface water waves
inferredcites →https://doi.org/10.1016/j.physleta.2014.04.067openalex-snapshot
Stability of traveling wave solutions to the Whitham equation
inferredcites →https://doi.org/10.1016/j.piutam.2014.01.053openalex-snapshot
The Conformal-mapping Method for Surface Gravity Waves in the Presence of Variable Bathymetry and Mean Current
inferredcites →https://doi.org/10.1016/j.wavemoti.2012.07.002openalex-snapshot
Numerical study of a nonlocal model for water-waves with variable depth
inferredcites →https://doi.org/10.1016/j.wavemoti.2016.04.013openalex-snapshot
A Whitham–Boussinesq long-wave model for variable topography
inferredcites →https://doi.org/10.1016/j.wavemoti.2018.07.004openalex-snapshot
Bidirectional Whitham equations as models of waves on shallow water
inferredcites →https://doi.org/10.1017/s0022112095002011openalex-snapshot
Nonlinear evolution equations for two-dimensional surface waves in a fluid of finite depth
inferredcites →https://doi.org/10.1051/mmnp/20138502openalex-snapshot
Global Bifurcation for the Whitham Equation
inferredcites →https://doi.org/10.1063/1.3053183openalex-snapshot
Derivation of asymptotic two-dimensional time-dependent equations for surface water wave propagation
inferredcites →https://doi.org/10.1088/0031-9112/26/11/028openalex-snapshot
Linear and Nonlinear Waves
inferredcites →https://doi.org/10.1098/rspa.1967.0119openalex-snapshot
Variational methods and applications to water waves
inferredcites →https://doi.org/10.1103/physreve.47.4593openalex-snapshot
Two-dimensional evolution of surface gravity waves on a fluid of arbitrary depth
inferredcites →https://doi.org/10.1111/j.0022-2526.2004.01534.xopenalex-snapshot
A Numerical Study of the Exact Evolution Equations for Surface Waves in Water of Finite Depth
inferredcites →https://doi.org/10.1111/sapm.12221openalex-snapshot
Numerical Bifurcation and Spectral Stability of Wavetrains in Bidirectional Whitham Models
inferredcites →https://doi.org/10.1111/sapm.12231openalex-snapshot
Modulational instability in a full‐dispersion shallow water model
inferredcites →https://doi.org/10.1137/130912001openalex-snapshot
Dispersive Perturbations of Burgers and Hyperbolic Equations I: Local Theory
inferredcites →https://doi.org/10.3934/krm.2013.6.989openalex-snapshot
Remarks on the full dispersion Kadomtsev-Petviashvli equation
inferredcites →https://doi.org/10.48550/arxiv.1708.04551openalex-snapshot
A conditional well-posedness result for the bidirectional Whitham equation
inferredcites →https://doi.org/10.57262/die/1356019412openalex-snapshot
Traveling waves for the Whitham equation
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
inferred← citeshttps://doi.org/10.1002/mma.8304openalex-snapshot
Comparison between Boussinesq‐ and Whitham–Boussinesq‐type systems
inferred← citeshttps://doi.org/10.1002/pamm.70153openalex-snapshot
A Regularized Shallow‐Water System
inferred← citeshttps://doi.org/10.1007/s00023-023-01322-0openalex-snapshot
Dispersive Estimates for Linearized Water Wave-Type Equations in $$\mathbb {R}^d$$
inferred← citeshttps://doi.org/10.1007/s00033-019-1116-0openalex-snapshot
Solitary wave solutions to a class of Whitham–Boussinesq systems
inferred← citeshttps://doi.org/10.1007/s10665-021-10099-2openalex-snapshot
Fully dispersive Boussinesq models with uneven bathymetry
inferred← citeshttps://doi.org/10.1007/s11040-020-09339-1openalex-snapshot
Well-Posedness for a Whitham–Boussinesq System with Surface Tension
inferred← citeshttps://doi.org/10.1016/j.aml.2018.08.005openalex-snapshot
On well-posedness of a dispersive system of the Whitham–Boussinesq type
inferred← citeshttps://doi.org/10.1016/j.jde.2024.05.018openalex-snapshot
Long time well-posedness and full justification of a Whitham-Green-Naghdi system
inferred← citeshttps://doi.org/10.1016/j.matpur.2022.04.006openalex-snapshot
Travelling waves in the Boussinesq type systems
inferred← citeshttps://doi.org/10.1016/j.nonrwa.2020.103280openalex-snapshot
Solitary wave solutions of a Whitham–Boussinesq system
inferred← citeshttps://doi.org/10.1016/j.padiff.2025.101080openalex-snapshot
Overtaking solitary wave collisions for Whitham–Boussinesq systems
inferred← citeshttps://doi.org/10.1016/j.wavemoti.2024.103485openalex-snapshot
Wave evolution within the Cubic Vortical Whitham equation
inferred← citeshttps://doi.org/10.1016/j.wavemoti.2025.103675openalex-snapshot
Stability of periodic traveling waves for the hydroelastic Whitham equation
inferred← citeshttps://doi.org/10.1017/jfm.2019.530openalex-snapshot
Fully dispersive models for moving loads on ice sheets
inferred← citeshttps://doi.org/10.1098/rspa.2022.0050openalex-snapshot
Hamiltonian formulation of the stochastic surface wave problem
inferred← citeshttps://doi.org/10.1111/sapm.12418openalex-snapshot
Ocean‐depth measurement using shallow‐water wave models
inferred← citeshttps://doi.org/10.1137/20m1332049openalex-snapshot
Rigorous Derivation from the Water Waves Equations of Some Full Dispersion Shallow Water Models
inferred← citeshttps://doi.org/10.1142/s0219199722500651openalex-snapshot
Long-time existence for a Whitham–Boussinesq system in two dimensions
inferred← citeshttps://doi.org/10.3934/dcdsb.2021300openalex-snapshot
Numerical study of the Serre-Green-Naghdi equations and a fully dispersive counterpart
inferred← citeshttps://doi.org/10.70675/1052d061zba35z4ef0z8052ze9d12f33c883openalex-snapshot
Full dispersion models in coastal oceanography
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