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

被引：3
作者：
Wang Ming-Liang [1 ,2 ]
Li Ling-Xiao [1 ]
Li Er-Qian [1 ]
机构：
[1] Henan Univ Sci & Technol, Sch Math & Stat, Luoyang 471003, Peoples R China
[2] Lanzhou Univ, Dept Math, Lanzhou 730000, Peoples R China
来源：
COMMUNICATIONS IN THEORETICAL PHYSICS | 2014年 / 61卷 / 01期
关键词：
PDEs with fractional power term of dependent variable; exact solitary wave solutions; homogeneous balance principle; sub-ODE which admits a solution of sech-power or tanh-power type; TANH-FUNCTION METHOD; SUB-ODE METHOD; LONG WAVES; WATER;
D O I：
10.1088/0253-6102/61/1/02
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
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.
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页码：7 / 14
页数：8
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