Exact Solitary Wave Solutions of Nonlinear Evolution Equations with a Positive Fractional Power Term

The bounded and smooth solitary wave solutions of 10 nonlinear evolution equations with a positive fractional power term of dependent variable are successfully obtained by homogeneous balance principle and with the aid of sub-ODEs that admits a solution of sech-power or tanh-power type. In the speci...

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Bibliographic Details
Published in:Communications in theoretical physics 2014, Vol.61 (1), p.7-14
Main Author: 王明亮 李灵晓 李二强
Format: Article
Language:English
Subjects:
Balancing
Dependent variables
Mathematical analysis
Mathematical models
Nonlinear evolution equations
Solitary waves
Theoretical physics
分数
双曲正切
常微分方程
数学物理
模型方程
精确孤立波解
非线性发展方程
齐次平衡原则
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Summary:The bounded and smooth solitary wave solutions of 10 nonlinear evolution equations with a positive fractional power term of dependent variable are successfully obtained by homogeneous balance principle and with the aid of sub-ODEs that admits a solution of sech-power or tanh-power type. In the special cases that the fractional power equals to 1 and 2, the solitary wave solutions of more than 10 important model equations arisen from mathematical physics are easily rediscovered.
ISSN:0253-6102
1572-9494
DOI:10.1088/0253-6102/61/1/02