New Travelling-Wave Solutions for Dodd-Bullough Equation

A new method, which assumes ϕ' with a function form of f(eϕ), is applied to solve the Dodd-Bullough equation ϕuv=eϕ-e-2ϕ through travelling-wave transformation. A new family of explicit travelling wave solutions is derived. The proposed method works efficiently to be applied to solve other form...

Full description

Saved in:
Bibliographic Details
Main Authors: Guicheng Shen, Yunchuan Sun, Yongping Xiong
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2013/364718
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1850169573344542720
author Guicheng Shen
Yunchuan Sun
Yongping Xiong
author_facet Guicheng Shen
Yunchuan Sun
Yongping Xiong
author_sort Guicheng Shen
collection DOAJ
description A new method, which assumes ϕ' with a function form of f(eϕ), is applied to solve the Dodd-Bullough equation ϕuv=eϕ-e-2ϕ through travelling-wave transformation. A new family of explicit travelling wave solutions is derived. The proposed method works efficiently to be applied to solve other forms of Dodd-Bullough equations.
format Article
id doaj-art-a9fcdf69dfab45749510fa4084cc9259
institution OA Journals
issn 1110-757X
1687-0042
language English
publishDate 2013-01-01
publisher Wiley
record_format Article
series Journal of Applied Mathematics
spelling doaj-art-a9fcdf69dfab45749510fa4084cc92592025-08-20T02:20:41ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/364718364718New Travelling-Wave Solutions for Dodd-Bullough EquationGuicheng Shen0Yunchuan Sun1Yongping Xiong2School of Information, Beijing Wuzi University, Beijing 101149, ChinaBeijing Normal University, Beijing 100875, ChinaState Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing 100876, ChinaA new method, which assumes ϕ' with a function form of f(eϕ), is applied to solve the Dodd-Bullough equation ϕuv=eϕ-e-2ϕ through travelling-wave transformation. A new family of explicit travelling wave solutions is derived. The proposed method works efficiently to be applied to solve other forms of Dodd-Bullough equations.http://dx.doi.org/10.1155/2013/364718
spellingShingle Guicheng Shen
Yunchuan Sun
Yongping Xiong
New Travelling-Wave Solutions for Dodd-Bullough Equation
Journal of Applied Mathematics
title New Travelling-Wave Solutions for Dodd-Bullough Equation
title_full New Travelling-Wave Solutions for Dodd-Bullough Equation
title_fullStr New Travelling-Wave Solutions for Dodd-Bullough Equation
title_full_unstemmed New Travelling-Wave Solutions for Dodd-Bullough Equation
title_short New Travelling-Wave Solutions for Dodd-Bullough Equation
title_sort new travelling wave solutions for dodd bullough equation
url http://dx.doi.org/10.1155/2013/364718
work_keys_str_mv AT guichengshen newtravellingwavesolutionsfordoddbulloughequation
AT yunchuansun newtravellingwavesolutionsfordoddbulloughequation
AT yongpingxiong newtravellingwavesolutionsfordoddbulloughequation