Symbolic computation and the extended hyperbolic function method for constructing exact traveling solutions of nonlinear PDEs
type: Item
instance of: scholarly article
title: Symbolic computation and the extended hyperbolic function method for constructing exact traveling solutions of nonlinear PDEs
zbMATH Open document ID: 1268.65142
DOI: 10.1155/2012/716719
author: Yong Huang
author: Yadong Shang
author: Wenjun Yuan
published in: Journal of Applied Mathematics
publication date: 2013-06-03T00:00:00Z
review text: Summary: On the basis of the computer symbolic system Maple and the extended hyperbolic function method, we develop a more mathematically rigorous and systematic procedure for constructing exact solitary wave solutions and exact periodic traveling wave solutions in triangle form of various nonlinear partial differential equations that are with physical backgrounds. Compared with the existing methods, the proposed method gives new and more general solutions. More importantly, the method provides a straightforward and effective algorithm to obtain abundant explicit and exact particular solutions for large nonlinear mathematical physics equations. We apply the presented method to two variant Boussinesq equations and give a series of exact explicit traveling wave solutions that have some more general forms. So consequently, the efficiency and the generality of the proposed method are demonstrated.
Mathematics Subject Classification ID: 65M99
Mathematics Subject Classification ID: 35C07
Mathematics Subject Classification ID: 35L70
zbMATH DE Number: 6169963
zbMATH Keywords: computer symbolic system Maple
zbMATH Keywords: extended hyperbolic function method
zbMATH Keywords: solitary wave solutions
zbMATH Keywords: periodic traveling wave solutions
zbMATH Keywords: algorithm
zbMATH Keywords: Boussinesq equations
Wikidata QID: Q58907226
describes a project that uses: ATFM
describes a project that uses: Maple
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/716719
OpenAlex ID: W2090550817
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DBLP publication ID: journals/jam/HuangSY12
description: scientific article; zbMATH DE number 6169963