Symmetry Reduction of Two-Dimensional Damped Kuramoto-Sivashinsky Equation

被引：16
|
作者：
Nadjafikhah, Mehdi [1 ]
Ahangari, Fatemeh [1 ]
机构：
[1] Iran Univ Sci & Technol, Sch Math, Tehran 1684613114, Iran
来源：
COMMUNICATIONS IN THEORETICAL PHYSICS | 2011年 / 56卷 / 02期
关键词：
two-dimensional damped Kuramoto-Sivashinsky equation; symmetry; optimal system; similarity solutions;
D O I：
10.1088/0253-6102/56/2/03
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, the problem of determining the largest possible set of symmetries for an important nonlinear dynamical system: the two-dimensional damped Kuramoto-Sivashinsky ((2D) DKS) equation is studied. By applying the basic Lie symmetry method for the (2D) DKS equation, the classical Lie point symmetry operators are obtained. Also, the optimal system of one-dimensional subalgebras of the equation is constructed. The Lie invariants as well as similarity reduced equations corresponding to infinitesimal symmetries are obtained. The nonclassical symmetries of the (2D) DKS equation are also investigated.
引用
收藏
页码：211 / 217
页数：7
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