Open AccessA method of constructing infinite sequence soliton-like solutions of nonlinear evolution equations
Author(s) -
Taogetusang,
Yang Bai
Publication year - 2012
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.61.130202
Subject(s) - soliton , sequence (biology) , transformation (genetics) , nonlinear system , computation , symbolic computation , exact solutions in general relativity , mathematics , physics , mathematical analysis , quantum mechanics , algorithm , genetics , biology , biochemistry , chemistry , gene
The auxiliary equation method is used to construct the finite new exact solutions of nonlinear evolution equations. To search for infinite sequence soliton-like exact solutions of nonlinear evolution equations, characteristics of constructivity and mechanization of auxiliary equation method are analyzed and summarized. Therefore, the quasi-Bcklund transformation between new solutions of a kind of auxiliary equation with Riccati equation is presented, then (2+1)-dimensional modified dispersive water-wave system is taken as an applicable example to find infinite sequence soliton-like new exact solutions by choosing two kinds of formal solutions of nonlinear evolution equations with the help of symbolic computation system Mathematica, where included are the infinite sequence smooth soliton-like solutions, compact soliton solutions and peak soliton-like solutions.