Approximate model equations for water waves

DOI10.4310/CMS.2005.v3.n2.a4zbMath1101.35065OpenAlexW2018193898MaRDI QIDQ2493645

Doron Levy, Razvan C. Fetecau

Publication date: 26 June 2006

Published in: Communications in Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/cms.2005.v3.n2.a4

zbMATH Keywords

Padé approximationBBM equationKdV equationunidirectional propagation of long waves in dispersive media

Mathematics Subject Classification ID

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

Related Items (13)

On group invariant solutions of fractional order Burgers-Poisson equation ⋮ Gaussian solitary waves for the logarithmic-BBM and the logarithmic-TRLW equations ⋮ Traveling wave solutions of two nonlinear wave equations by \((G^\prime/G)\)-expansion method ⋮ The Whitham equation as a model for surface water waves ⋮ Elliptic solutions and solitary waves of a higher order KdV-BBM long wave equation ⋮ Traveling waves in a quintic BBM equation under both distributed delay and weak backward diffusion ⋮ Traveling wave solutions of the Benjamin-Bona-Mahony water wave equations ⋮ Strang splitting method to Benjamin-Bona-Mahony type equations: analysis and application ⋮ Stability of traveling wave solutions to the Whitham equation ⋮ Periodic solutions and Whitham modulation equations for the Lakshmanan-Porsezian-Daniel equation ⋮ Uniformly accurate splitting schemes for the Benjamin-Bona-Mahony equation with dispersive parameter ⋮ On the Galilean Invariance of Some Nonlinear Dispersive Wave Equations ⋮ On the stability of solitary wave solutions for a generalized fractional Benjamin–Bona–Mahony equation

This page was built for publication: Approximate model equations for water waves