Symmetry reductions, exact solutions, stability analysis and conservation laws of time-fractional Sharma-Tasso-Olever equation

被引：1

作者：

Zhang, Youwei ^{[1
]}

机构：

[1] Hexi Univ, Sch Math & Stat, Zhangye 734000, Peoples R China

来源：

INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS | 2019年 / 16卷 / 06期

关键词：

Symmetry reductions; exact solutions; Lyapunov function; conservation laws; ORDER;

D O I：

10.1142/S0219887819500877

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, Lie group analysis method is applied to consider a vector field and symmetry reductions for time-fractional Sharma-Tasso-Olver equation, exact hyperbolic wave solutions, power series solutions and its convergence are investigated. Stability and boundedness analysis of trivial solution to the reduced ordinary differential equation is shown by constructing appropriate Lyapunov function. Conservation laws of the equation are well constructed with a detailed derivation making use of Noether's operator.

引用

页数：19

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