Combined Exp-Function Ansatz Method and Applications

Combined Exp-Function Ansatz Method and Applications

Our aim is to present a combined Exp-function ansatz method. This method replaces the traditional assumptions of multisolitons by a combination of the hyperbolic functions and triangle functions in Hirota bilinear forms of nonlinear evolution equation. Using this method, we can obtain many new type...

Full description

Bibliographic Details
Main Authors: Gui Mu, Jun Liu, Zhengde Dai, Xi Liu
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/234319
id doaj-4c8222a0b7b5497baf3aebb108b0a772
record_format Article
spelling doaj-4c8222a0b7b5497baf3aebb108b0a7722020-11-25T00:32:00ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/234319234319Combined Exp-Function Ansatz Method and ApplicationsGui Mu0Jun Liu1Zhengde Dai2Xi Liu3College of Mathematics and Information Science, Qujing Normal University, Qujing 655011, ChinaCollege of Mathematics and Information Science, Qujing Normal University, Qujing 655011, ChinaSchool of Mathematics and Statics, Yunnan University, Kunming 650091, ChinaSchool of Information Science and Engineering, Yunnan University, Kunming 650091, ChinaOur aim is to present a combined Exp-function ansatz method. This method replaces the traditional assumptions of multisolitons by a combination of the hyperbolic functions and triangle functions in Hirota bilinear forms of nonlinear evolution equation. Using this method, we can obtain many new type analytical solutions of various nonlinear evolution equations including multisoliton solutions as well as breath-like solitons solutions. These solutions will exhibit interesting dynamic diversity.http://dx.doi.org/10.1155/2013/234319
collection DOAJ
language English
format Article
sources DOAJ
author Gui Mu
Jun Liu
Zhengde Dai
Xi Liu
spellingShingle Gui Mu
Jun Liu
Zhengde Dai
Xi Liu
Combined Exp-Function Ansatz Method and Applications
Abstract and Applied Analysis
author_facet Gui Mu
Jun Liu
Zhengde Dai
Xi Liu
author_sort Gui Mu
title Combined Exp-Function Ansatz Method and Applications
title_short Combined Exp-Function Ansatz Method and Applications
title_full Combined Exp-Function Ansatz Method and Applications
title_fullStr Combined Exp-Function Ansatz Method and Applications
title_full_unstemmed Combined Exp-Function Ansatz Method and Applications
title_sort combined exp-function ansatz method and applications
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2013-01-01
description Our aim is to present a combined Exp-function ansatz method. This method replaces the traditional assumptions of multisolitons by a combination of the hyperbolic functions and triangle functions in Hirota bilinear forms of nonlinear evolution equation. Using this method, we can obtain many new type analytical solutions of various nonlinear evolution equations including multisoliton solutions as well as breath-like solitons solutions. These solutions will exhibit interesting dynamic diversity.
url http://dx.doi.org/10.1155/2013/234319
work_keys_str_mv AT guimu combinedexpfunctionansatzmethodandapplications
AT junliu combinedexpfunctionansatzmethodandapplications
AT zhengdedai combinedexpfunctionansatzmethodandapplications
AT xiliu combinedexpfunctionansatzmethodandapplications
_version_ 1725321489496932352

Similar Items