Symmetry Reduction of Two-Dimensional Damped Kuramoto-Sivashinsky Equation |
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Authors: | Mehdi Nadjafikhah and Fatemeh Ahangari |
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Institution: | School of Mathematics, Iran University of Science and Technology, Narmak, Tehran 1684613114, Iran |
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Abstract: | 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. |
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Keywords: | two-dimensional damped Kuramoto-Sivashinsky equation symmetry optimal system similarity solutions |
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