LIE SYMMETRY ANALYSIS OF THE TWO-DIMENSIONAL GENERALIZED KURAMOTO-SIVASHINSKY EQUATION

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NADJAFIKHAH MEHDI; AHANGARI FATEMEH

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Journal: MATHEMATICAL SCIENCES Year:2012 | Volume:6 | Issue:- Page(s): 1-7

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Title

LIE SYMMETRY ANALYSIS OF THE TWO-DIMENSIONAL GENERALIZED KURAMOTO-SIVASHINSKY EQUATION

Author(s)

NADJAFIKHAH MEHDI | AHANGARI FATEMEH | Issue Writer Certificate

Keywords

TWO DIMENSIONAL GENERALIZED KURAMOTO-SIVANSHSKY (2D GKS) EQUATION

LIE SYMMETRY METHOD

INVARIANT SOLUTIONS

OPTIMAL SYSTEM

SIMILARITY REDUCED EQUATIONS

Abstract

Purpose: In this paper, a detailed analysis of an important nonlinear model system, the two dimensional generalized Kuramoto-Sivashinsky (2D gKS) equation, is presented by group analysis.Methods: The basic LIE SYMMETRY METHOD is applied in order to determine the general symmetry group of our analyzed nonlinear model.Results: The symmetry group of the equation and some results related to the algebraic structure of the Lie algebra of symmetries are obtained. Also, a complete classification of the subalgebras of the symmetry algebra is resulted.Conclusions: It is proved that the Lie algebra of symmetries admits no three dimensional subalgebra. Mainly, all the group INVARIANT SOLUTIONS and the SIMILARITY REDUCED EQUATIONS associated to the infinitesimal symmetries are obtained.

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APA: Copy

NADJAFIKHAH, MEHDI, & AHANGARI, FATEMEH. (2012). LIE SYMMETRY ANALYSIS OF THE TWO-DIMENSIONAL GENERALIZED KURAMOTO-SIVASHINSKY EQUATION. MATHEMATICAL SCIENCES, 6(-), 1-7. SID. https://sid.ir/paper/322571/en

Vancouver: Copy

NADJAFIKHAH MEHDI, AHANGARI FATEMEH. LIE SYMMETRY ANALYSIS OF THE TWO-DIMENSIONAL GENERALIZED KURAMOTO-SIVASHINSKY EQUATION. MATHEMATICAL SCIENCES[Internet]. 2012;6(-):1-7. Available from: https://sid.ir/paper/322571/en

IEEE: Copy

MEHDI NADJAFIKHAH, and FATEMEH AHANGARI, “LIE SYMMETRY ANALYSIS OF THE TWO-DIMENSIONAL GENERALIZED KURAMOTO-SIVASHINSKY EQUATION,” MATHEMATICAL SCIENCES, vol. 6, no. -, pp. 1–7, 2012, [Online]. Available: https://sid.ir/paper/322571/en

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