New Exact Solutions to the KdV-Burgers-Kuramoto Equation with the Exp-Function Method

Based on the characteristics of the truncated Painlevé expansion method and the Exp-function method, new generalized solitary wave solutions are constructed for the KdV-Burgers-Kuramoto equation, which cannot be directly constructed from the Exp-function method. This work highlights the power of the...

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Main Authors: Jae-Myoung Kim, Changbum Chun
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/892420
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author Jae-Myoung Kim
Changbum Chun
author_facet Jae-Myoung Kim
Changbum Chun
author_sort Jae-Myoung Kim
collection DOAJ
description Based on the characteristics of the truncated Painlevé expansion method and the Exp-function method, new generalized solitary wave solutions are constructed for the KdV-Burgers-Kuramoto equation, which cannot be directly constructed from the Exp-function method. This work highlights the power of the Exp-function method in providing generalized solitary wave solutions of different physical structures.
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spelling doaj-art-b76bb5a673444a6497bd8fff94b1da692025-08-20T02:19:19ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/892420892420New Exact Solutions to the KdV-Burgers-Kuramoto Equation with the Exp-Function MethodJae-Myoung Kim0Changbum Chun1Department of Mathematics, Sungkyunkwan University, Suwon 440-746, Republic of KoreaDepartment of Mathematics, Sungkyunkwan University, Suwon 440-746, Republic of KoreaBased on the characteristics of the truncated Painlevé expansion method and the Exp-function method, new generalized solitary wave solutions are constructed for the KdV-Burgers-Kuramoto equation, which cannot be directly constructed from the Exp-function method. This work highlights the power of the Exp-function method in providing generalized solitary wave solutions of different physical structures.http://dx.doi.org/10.1155/2012/892420
spellingShingle Jae-Myoung Kim
Changbum Chun
New Exact Solutions to the KdV-Burgers-Kuramoto Equation with the Exp-Function Method
Abstract and Applied Analysis
title New Exact Solutions to the KdV-Burgers-Kuramoto Equation with the Exp-Function Method
title_full New Exact Solutions to the KdV-Burgers-Kuramoto Equation with the Exp-Function Method
title_fullStr New Exact Solutions to the KdV-Burgers-Kuramoto Equation with the Exp-Function Method
title_full_unstemmed New Exact Solutions to the KdV-Burgers-Kuramoto Equation with the Exp-Function Method
title_short New Exact Solutions to the KdV-Burgers-Kuramoto Equation with the Exp-Function Method
title_sort new exact solutions to the kdv burgers kuramoto equation with the exp function method
url http://dx.doi.org/10.1155/2012/892420
work_keys_str_mv AT jaemyoungkim newexactsolutionstothekdvburgerskuramotoequationwiththeexpfunctionmethod
AT changbumchun newexactsolutionstothekdvburgerskuramotoequationwiththeexpfunctionmethod