Bifurcation method and traveling wave solution to Whitham-Broer-Kaup equation
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Publication:2490965
DOI10.1016/j.amc.2005.01.078zbMath1088.76006OpenAlexW2060211840MaRDI QIDQ2490965
Yanfei Jin, Jianwei Shen, Wei Xu
Publication date: 18 May 2006
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2005.01.078
Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Solitary waves for incompressible inviscid fluids (76B25) Soliton equations (35Q51)
Related Items (8)
Bifurcation studies on travelling wave solutions for nonlinear intensity Klein-Gordon equation ⋮ Extended double Wronskian solutions to the Whitham-Broer-Kaup equations in shallow water ⋮ Lax pair, infinitely-many conservation laws and soliton solutions for a set of the time-dependent Whitham-Broer-Kaup equations for the shallow water ⋮ Hopf bifurcation of traveling wave solutions of delayed Fisher-KPP equation ⋮ Bilinearization and new soliton solutions of Whitham-Broer-Kaup equations with time-dependent coefficients ⋮ Bifurcations of traveling wave solutions for a class of the nonlinear equations ⋮ Elastic-inelastic-interaction coexistence and double Wronskian solutions for the Whitham-Broer-Kaup shallow-water-wave model ⋮ Travelling wave solutions for a class of the generalized Benjamin-Bona-Mahoney equations
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- A Higher-Order Water-Wave Equation and the Method for Solving It
- Approximate equations for long water waves
- Variational methods and applications to water waves
- Smooth and non-smooth traveling waves in a nonlinearly dispersive equation
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