Lie symmetry analysis and soliton solutions of time-fractional K(m, n) equation

被引：38

作者：

Wang, G. W. ^{[1
]}

Hashemi, M. S. ^{[2
]}

机构：

[1] Beijing Inst Technol, Sch Math & Stat, Beijing 100081, Peoples R China

[2] Univ Bonab, Basic Sci Fac, Dept Math, POB 55517-61167, Bonab, Iran

来源：

PRAMANA-JOURNAL OF PHYSICS | 2017年 / 88卷 / 01期

关键词：

Lie symmetries; time-fractional K(m; n); equation; Erdelyi-Kober fractional derivative; Riemann-Liouville derivatives; soliton solutions; NONLINEAR DISPERSIVE K(M; INVARIANT ANALYSIS; DERIVATIVES;

D O I：

10.1007/s12043-016-1320-9

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this note, method of Lie symmetries is applied to investigate symmetry properties of time-fractional K(m, n) equation with the Riemann-Liouville derivatives. Reduction of time-fractional K(m, n) equation is done by virtue of the Erdelyi-Kober fractional derivative which depends on a parameter a. Then soliton solutions are extracted by means of a transformation.

引用

页数：6

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