Lie Symmetries, Conservation Laws and Explicit Solutions for Time Fractional Rosenau-Haynam Equation

被引：16
作者：
Qin, Chun-Yan
Tian, Shou-Fu [1 ]
Wang, Xiu-Bin
Zhang, Tian-Tian
机构：
[1] China Univ Min & Technol, Dept Math, Xuzhou 221116, Peoples R China
来源：
COMMUNICATIONS IN THEORETICAL PHYSICS | 2017年 / 67卷 / 02期
关键词：
time fractional Rosenau-Haynam equation; Lie symmetry; conservation laws; PERIODIC-WAVE SOLUTIONS; RATIONAL CHARACTERISTICS; VARIATIONAL-PROBLEMS; INVARIANT ANALYSIS; NOETHERS THEOREM; TRANSFORMATIONS; FORMULATION; SYSTEM;
D O I：
10.1088/0253-6102/67/2/157
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Under investigation in this paper is the invariance properties of the time fractional Rosenau-Haynam equation, which can be used to describe the formation of patterns in liquid drops. By using the Lie group analysis method, the vector fields and symmetry reductions of the equation are derived, respectively. Moreover, based on the power series theory, a kind of explicit power series solutions for the equation are well constructed with a detailed derivation. Finally, by using the new conservation theorem, two kinds of conservation laws of the equation are well constructed with a detailed derivation.
引用
收藏
页码：157 / 165
页数：9
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