Travelling wave solutions to a higher order KdV equation

DOI10.1016/0960-0779(91)90008-WzbMath0732.76012OpenAlexW2009624595MaRDI QIDQ809784

Alan Jeffrey, M. N. B. Mohamad

Publication date: 1991

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0960-0779(91)90008-w

zbMATH Keywords

long wavestravelling wave solutionsshallow waterhigher order KdV equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)

Related Items (8)

Exact solutions to the combined KdV and mKdV equation ⋮ A complex travelling wave solution to the KdV-Burgers equation ⋮ A note on traveling wave solutions for a class of nonlinear viscoelastic media ⋮ Soliton and periodic solutions for higher order wave equations of KdV type (I) ⋮ Numerical simulations of systems of PDEs by variational iteration method ⋮ Numerical solution of sine-Gordon equation by variational iteration method ⋮ On explicit exact solutions to the compound Burgers-KdV equation ⋮ On The Uniqueness of Solutions for Kawahara Type Equations

Cites Work

• Existence of perturbed solitary wave solutions to a model equation for water waves
• Solitary and periodic gravity—capillary waves of finite amplitude
• Symmetry breaking in periodic and solitary gravity-capillary waves on water of finite depth
• Soliton Interactions in Two Dimensions

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