Constructing infinite sequence exact solutions of nonlinear evolution equations

To construct the infinite sequence new exact solutions of nonlinear evolution equations and study the first kind of elliptic function, new solutions and the corresponding B~cklund transformation of the equation are presented. Based on this, the generalized pentavalent KdV equation and the breaking s...

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Bibliographic Details
Published in:Chinese physics B 2011-11, Vol.20 (11), p.23-33
Main Author: 套格图桑 那仁满都拉
Format: Article
Language:English
Subjects:
Construction
Exact solutions
Mathematica
Mathematical analysis
Mathematical models
Nonlinear evolution equations
Solitary waves
Solitons
Transformations
广义KdV方程
无穷序列
无限序列
破裂孤子方程
符号计算系统
精确解
非线性演化方程
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Summary:To construct the infinite sequence new exact solutions of nonlinear evolution equations and study the first kind of elliptic function, new solutions and the corresponding B~cklund transformation of the equation are presented. Based on this, the generalized pentavalent KdV equation and the breaking soliton equation are chosen as applicable examples and infinite sequence smooth soliton solutions, infinite sequence peak solitary wave solutions and infinite sequence compact soliton solutions are obtained with the help of symbolic computation system Mathematica. The method is of significance to search for infinite sequence new exact solutions to other nonlinear evolution equations.
ISSN:1674-1056
2058-3834
DOI:10.1088/1674-1056/20/11/110203