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

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, respe...

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Bibliographic Details
Published in:Communications in theoretical physics 2017-02, Vol.67 (2), p.157-165
Main Author: 秦春艳 田守富 王秀彬 张田田
Format: Article
Language:English
Subjects:
Lie对称性
分数阶
守恒定律
对称约化
差分方程
形成模式
时间
显式解
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Summary: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.
ISSN:0253-6102
DOI:10.1088/0253-6102/67/2/157