Symmetry Reduction of Two-Dimensional Damped Kuramoto-Sivashinsky Equation

作     者：Mehdi Nadjafikhah Fatemeh Ahangari 

作者机构：School of MathematicsIran University of Science and Technology 

出 版 物：《Communications in Theoretical Physics》 (理论物理通讯（英文版）)

年 卷 期：2011年第56卷第8期

页      面：211-217页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

主　　题：two-dimensional damped Kuramoto-Sivashinsky equation symmetry optimal system similaritysolutions 

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 （（21）） DKS ） equation is studied. By applying the basic Lie symmetry method for the （217）） 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 nonclassicaJ symmetries of the （2D） DKS equation are also investigated.