Symmetry analysis and conservation laws for the class of time-fractional nonlinear dispersive equation

Symmetry analysis and conservation laws for the class of time-fractional nonlinear dispersive equation
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DOI:
10.1007/s11071-015-2156-4
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发表时间:
2015-05
期刊:
影响因子:
5.6
通讯作者:
Gangwei Wang;Gangwei Wang;A. Kara;A. Kara;K. Fakhar;K. Fakhar
Gangwei Wang;Gangwei Wang;A. Kara;A. Kara;K. Fakhar;K. Fakhar
中科院分区:
工程技术2区
文献类型:
--
作者:
Gangwei Wang;Gangwei Wang;A. Kara;A. Kara;K. Fakhar;K. Fakhar

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本文给出了一类时间分数阶非线性色散方程的李点对称的完全代数。借助于经典的李对称方法,得到了相应的向量场,这些向量场又用于方程的约化。特别地,得到了方程的守恒律。
In this paper, we derive the complete algebra of Lie point symmetries for the class of time-fractional nonlinear dispersive equation. By means of the classical Lie symmetry method, the associated vector fields are obtained which in turn are utilized for the reduction of the equation. In particular, the conservation laws of the equation are obtained.