Space-time scaling invariant traveling wave solutions of some nonlinear fractional equations

被引：1
|
作者：
He, Tianlan [1 ]
Fang, Hui [1 ]
机构：
[1] Kunming Univ Sci & Technol, Ctr Nonlinear Sci Studies, Kunming 650093, Yunnan, Peoples R China
来源：
TURKISH JOURNAL OF PHYSICS | 2012年 / 36卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Homogeneous principle; space-time scaling invariant traveling wave solution; generalized fractional Benjamin-Ono equations; generalized fractional Zakharov-Kuznetsov equations;
D O I：
10.3906/fiz-1111-1
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, a homogeneous principle is proposed to seek the space-time scaling invariant traveling wave solutions expressed by power functions for some fractional differential equations. Applying this principle to generalized fractional Benjamin-Ono equations and generalized fractional ZakharovKuznetsov equations, the traveling wave solutions expressed by power functions have been obtained under some parameter conditions.
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页码：465 / 472
页数：8
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