Lie symmetries and conservation laws for the time fractional Derrida-Lebowitz-Speer-Spohn equation

被引：53

作者：

Rui, Wenjuan ^{[1
]}

Zhang, Xiangzhi ^{[1
]}

机构：

[1] China Univ Min & Technol, Coll Sci, Xuzhou 221116, Peoples R China

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2016年 / 34卷

关键词：

Time fractional; Derrida-Lebowitz-Speer-Spohn equation; Lie symmetry; Conservation law; SIMILARITY REDUCTIONS; VARIATIONAL-PROBLEMS; GENERALIZED BURGERS; INVARIANT ANALYSIS; NOETHERS THEOREM; FORMULATION;

D O I：

10.1016/j.cnsns.2015.10.004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper investigates the invariance properties of the time fractional Derrida-Lebowitz-Speer-Spohn (FDLSS) equation with Riemann-Liouville derivative. By using the Lie group analysis method of fractional differential equations, we derive Lie symmetries for the FDLSS equation. In a particular case of scaling transformations, we transform the FDLSS equation into a nonlinear ordinary fractional differential equation. Conservation laws for this equation are obtained with the aid of the new conservation theorem and the fractional generalization of the Noether operators. (C) 2015 Elsevier B.V. All rights reserved.

引用

页码：38 / 44

页数：7

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