Exact explicit traveling wave solution for the generalized \((2+1)\)-dimensional Boussinesq equation
type: Item
instance of: scholarly article
title: Exact explicit traveling wave solution for the generalized \((2+1)\)-dimensional Boussinesq equation
zbMATH Open document ID: 1238.35122
DOI: 10.5402/2011/419678
author: Libing Zeng
author: Keding Qin
author: Shengqiang Tang
published in: ISRN Applied Mathematics
publication date: 2012-05-21T00:00:00Z
review text: Summary: The sine-cosine method and the extended tanh method are used to construct exact solitary patterns solution and compactons solutions of the generalized \((2+1)\)-dimensional Boussinesq equation. The compactons solutions and solitary patterns solutions of the generalized \((2+1)\)-dimensional Boussinesq equation are successfully obtained. These solutions may be important and of significance for the explanation of some practical physical problems. It is shown that the sine-cosine and the extended tanh methods provide a powerful mathematical tool for solving great many nonlinear partial differential equations in mathematical physics.
Mathematics Subject Classification ID: 35Q51
Mathematics Subject Classification ID: 35C08
zbMATH DE Number: 6037013
Wikidata QID: Q58689391
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.5402/2011/419678
OpenAlex ID: W1534512195
cites work: Q3995225
cites work: Q4002235
cites work: Q4273954
cites work: Traveling wave solutions for a class of nonlinear dispersive equations
cites work: Bifurcations of travelling wave solutions for the generalized double sinh-Gordon equation
cites work: Bifurcations of travelling wave solutions for \((2 + 1)\)-dimensional Boussinesq-type equation
cites work: Travelling wave solutions for a class of nonlinear fourth order variant of a generalized Camassa-Holm equation
cites work: Travelling wave solutions for a class of generalized KdV equation
cites work: The tanh method: I. Exact solutions of nonlinear evolution and wave equations
cites work: The tanh method: II. Perturbation technique for conservative systems
cites work: Uniformly constructing a series of explicit exact solutions to nonlinear equations in mathematical physics
cites work: Exact solutions for a compound KdV-Burgers equation
cites work: Analytic solutions of the (2 + 1)-dimensional nonlinear evolution equations using the sine-cosine method
cites work: New double periodic and multiple soliton solutions of the generalized \((2 + 1)\)-dimensional Boussinesq equation
cites work: New explicit solitary wave solutions for \((2+1)\)-dimensional Boussinesq equation and \((3+1)\)-dimensional KP equation
cites work: Some physical structures for the \((2+1)\)-dimensional Boussinesq water equation with positive and negative exponents
cites work: A class of nonlinear fourth order variant of a generalized Camassa-Holm equation with compact and noncompact solutions
description: scientific article; zbMATH DE number 6037013