Generalized transformations and abundant new families of exact solutions for (2 + 1)-dimensional dispersive long wave equations
type: Item
instance of: scholarly article
title: Generalized transformations and abundant new families of exact solutions for (2 + 1)-dimensional dispersive long wave equations
zbMATH Open document ID: 1064.35030
DOI: 10.1016/S0898-1221(03)90225-2
author: Zhenya Yan
publication date: 2004-08-06T00:00:00Z
review text: The author derives many types of exact solutions of the (2+1)-dimensional dispersive long wave equation by a generalized transformation. In addition the author also obtains many corresponding solitary and periodic wave solutions for the variant Boussinesq equation, as a spherical case of the (2+1)-dimensional dispersive long wave equation. The author shows that, with the aid of symbolic computation and the Wu elimination method, solving nonlinear partial differential equations can be carried out on a computer.
Mathematics Subject Classification ID: 35C05
Mathematics Subject Classification ID: 35G20
Mathematics Subject Classification ID: 35B10
Mathematics Subject Classification ID: 35Q51
Mathematics Subject Classification ID: 35A22
Mathematics Subject Classification ID: 37K10
zbMATH DE Number: 2082611
zbMATH Keywords: variant Boussinesq equation
zbMATH Keywords: Riccati equation
zbMATH Keywords: solitary wave solution
zbMATH Keywords: periodic wave solution.
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
cites work: Q3995225
cites work: Symmetry-based algorithms to relate partial differential equations: I. Local symmetries
cites work: A simple transformation for nonlinear waves.
cites work: Application of a homogeneous balance method to exact solutions of nonlinear equations in mathematical physics
cites work: Solitary wave solutions for variant Boussinesq equations
cites work: New explicit and exact travelling wave solutions for a system of variant Boussinesq equations in mathematical physics
cites work: Explicit and exact solutions to a Kolmogorov-Petrovskii-Piskunov equation
cites work: Q3737533
cites work: New explicit solitary wave solutions and periodic wave solutions for Whitham-Broer-Kaup equation in shallow water
cites work: Explicit exact solutions for the generalized combined KdV and mKdV equation
cites work: Study on exact analytic solutions for two systems of nonlinear evolution equations
published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 2082611