Abundant Exact Solition-Like Solutions to the Generalized Bretherton Equation with Arbitrary Constants

The Riccati equation is employed to construct exact travelling wave solutions to the generalized Bretherton equation. Taking full advantage of the Riccati equation which has more new solutions, abundant new multiple solition-like solutions are obtained for the generalized Bretherton equation.

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Main Authors: Xiuqing Yu, Fengsheng Xu, Lihua Zhang
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/284865
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author Xiuqing Yu
Fengsheng Xu
Lihua Zhang
author_facet Xiuqing Yu
Fengsheng Xu
Lihua Zhang
author_sort Xiuqing Yu
collection DOAJ
description The Riccati equation is employed to construct exact travelling wave solutions to the generalized Bretherton equation. Taking full advantage of the Riccati equation which has more new solutions, abundant new multiple solition-like solutions are obtained for the generalized Bretherton equation.
format Article
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institution Kabale University
issn 1085-3375
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language English
publishDate 2013-01-01
publisher Wiley
record_format Article
series Abstract and Applied Analysis
spelling doaj-art-ab4b7d33bc3248e880a82c5fca88ed262025-02-03T01:00:59ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/284865284865Abundant Exact Solition-Like Solutions to the Generalized Bretherton Equation with Arbitrary ConstantsXiuqing Yu0Fengsheng Xu1Lihua Zhang2Department of Mathematics Sciences, Dezhou University, Dezhou 253023, ChinaDepartment of Mathematics Sciences, Dezhou University, Dezhou 253023, ChinaDepartment of Mathematics Sciences, Dezhou University, Dezhou 253023, ChinaThe Riccati equation is employed to construct exact travelling wave solutions to the generalized Bretherton equation. Taking full advantage of the Riccati equation which has more new solutions, abundant new multiple solition-like solutions are obtained for the generalized Bretherton equation.http://dx.doi.org/10.1155/2013/284865
spellingShingle Xiuqing Yu
Fengsheng Xu
Lihua Zhang
Abundant Exact Solition-Like Solutions to the Generalized Bretherton Equation with Arbitrary Constants
Abstract and Applied Analysis
title Abundant Exact Solition-Like Solutions to the Generalized Bretherton Equation with Arbitrary Constants
title_full Abundant Exact Solition-Like Solutions to the Generalized Bretherton Equation with Arbitrary Constants
title_fullStr Abundant Exact Solition-Like Solutions to the Generalized Bretherton Equation with Arbitrary Constants
title_full_unstemmed Abundant Exact Solition-Like Solutions to the Generalized Bretherton Equation with Arbitrary Constants
title_short Abundant Exact Solition-Like Solutions to the Generalized Bretherton Equation with Arbitrary Constants
title_sort abundant exact solition like solutions to the generalized bretherton equation with arbitrary constants
url http://dx.doi.org/10.1155/2013/284865
work_keys_str_mv AT xiuqingyu abundantexactsolitionlikesolutionstothegeneralizedbrethertonequationwitharbitraryconstants
AT fengshengxu abundantexactsolitionlikesolutionstothegeneralizedbrethertonequationwitharbitraryconstants
AT lihuazhang abundantexactsolitionlikesolutionstothegeneralizedbrethertonequationwitharbitraryconstants