Combined Exp-Function Ansatz Method and Applications
Author(s) -
Gui Mu,
Jun Liu,
Zhengde Dai,
Xi Liu
Publication year - 2013
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/2013/234319
Subject(s) - ansatz , mathematics , bilinear interpolation , nonlinear system , function (biology) , type (biology) , mathematical analysis , hyperbolic function , mathematical physics , physics , ecology , statistics , quantum mechanics , evolutionary biology , biology
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
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