Invariant analysis and explicit solutions of the time fractional nonlinear perturbed Burgers equation

被引：17

作者：

Wang, Gangwei ^{[1
]}

Xu, Tianzhou ^{[1
]}

机构：

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

来源：

NONLINEAR ANALYSIS-MODELLING AND CONTROL | 2015年 / 20卷 / 04期

基金：

中国国家自然科学基金;

关键词：

perturbed Burgers equation; Lie group analysis; symmetry reductions; power series method; explicit solutions; LIE SYMMETRY ANALYSIS; SOLITONS;

D O I：

10.15388/NA.2015.4.8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The Lie group analysis method is performed for the nonlinear perturbed Burgers equation and the time fractional nonlinear perturbed Burgers equation. All of the point symmetries of the equations are constructed. In view of the point symmetries, the vector fields of the equations are constructed. Subsequently, the symmetry reductions are investigated. In particular, some novel exact and explicit solutions are obtained.

引用

页码：570 / 584

页数：15

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