Gauge transformation, elastic and inelastic interactions for the Whitham-Broer-Kaup shallow-water model

DOI10.1016/j.cnsns.2011.11.018zbMath1335.35223OpenAlexW1972486399MaRDI QIDQ434831

Lei Wang, Yi-Tian Gao, Xiao-Ling Gai

Publication date: 16 July 2012

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2011.11.018

zbMATH Keywords

symbolic computationgauge transformationDarboux transformationVandermonde-like determinantdouble Wronskian determinantelastic/inelastic interactionsWhitham-Broer-Kaup model

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Geometric theory, characteristics, transformations in context of PDEs (35A30) Software, source code, etc. for problems pertaining to partial differential equations (35-04)

Related Items (3)

The elastic-fusion-coupled interaction for the Boussinesq equation and new soliton solutions of the KP equation ⋮ Travelling wave solutions of Drinfel'd-Sokolov-Wilson, Whitham-Broer-Kaup and \((2+1)\)-dimensional Broer-Kaup-Kupershmit equations and their applications ⋮ Application of \(\tan (\Phi (\xi )/2)\)-expansion method to solve some nonlinear fractional physical model

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