A generalized method and general form solutions to the Whitham-Broer-Kaup equation
type: Item
instance of: scholarly article
title: A generalized method and general form solutions to the Whitham-Broer-Kaup equation
zbMATH Open document ID: 1062.37094
author: Yong Chen
author: Qi Wang
author: Biao Li
published in: Chaos, Solitons and Fractals
publication date: 2005-04-21T00:00:00Z
Mathematics Subject Classification ID: 37K40
Mathematics Subject Classification ID: 35Q53
zbMATH DE Number: 2160087
zbMATH Keywords: travelling wave solutions
zbMATH Keywords: Whitham-Broer-Kaup equation
zbMATH Keywords: computer algebra
MaRDI profile type: Publication
full work available at URL: j.chaos.2004.02.024
OpenAlex ID: W2135994620
cites work: Q3995225
cites work: A generalization of inverse scattering method
cites work: Simple derivation of Bäcklund transformation from Riccati form of inverse method.
cites work: Auto-Bäcklund transformation and exact solutions for compound KdV-type and compound KdV-Burgers-type equations with nonlinear terms of any order
cites work: Q4002235
cites work: delta -dressing and exact solutions for the (2+1)-dimensional Harry Dym equation
cites work: The Hirota-Satsuma Coupled KdV Equation and a Coupled Ito System Revisited
cites work: An auto-Bäcklund transformation and exact solutions to a generalized KdV equation with variable coefficients and their applications
cites work: Travelling solitary wave solutions to a seventh-order generalized KdV equation
cites work: Soliton solutions for the new complex version of a coupled KdV equation and a coupled MKdV equation
cites work: Modified extended tanh-function method for solving nonlinear partial differential equations
cites work: General projective Riccati equation method and exact solutions for generalized KdV-type and KdV-Burgers-type equations with nonlinear terms of any order
cites work: Travelling wave solutions in terms of special functions for nonlinear coupled evolution systems
cites work: Variational methods and applications to water waves
cites work: Approximate equations for long water waves
cites work: Mathematics of dispersive water waves
cites work: New explicit solitary wave solutions and periodic wave solutions for Whitham-Broer-Kaup equation in shallow water
cites work: Explicit and exact traveling wave solutions of Whitham-Broer-Kaup shallow water equations
cites work: Q5676510
cites work: Q4040545
DOI: 10.1016/J.CHAOS.2004.02.024
description: scientific article; zbMATH DE number 2160087