Classical and partial symmetries of the Benney equation

Mehdi Nadjafikhah; Omid Chekini

doi:10.26637/mjm301/008

Abstract

Lie symmetry group method is applied to study Benney equation. The symmetry group and its optimal system are given,and group invariant solutions associated to the symmetries are obtained. Also the structure of the Lie algebra symmetries is determined. Mainly, we have compared one of the resolved analitical solutions of the Benney equation with one of it’s numerical solutions which is obtained via homotopy perturbation method in [4].

Keywords:

Lie group analysis, Partial symmetry, Symmetry group, Optimal system, Invariant solution, Benney equation

Mathematics Subject Classification:

53A55, 53B21

Authors Imprint References Funding Related Articles Downloads

Mehdi Nadjafikhah Department of Pure Mathematics, School of Mathematics, Iran University of Science and Technology, Narmak, Tehran, 1684613114, I.R.IRAN.
Omid Chekini Department of Pure Mathematics, School of Mathematics, Iran University of Science and Technology, Narmak, Tehran, 1684613114, I.R.IRAN.

Pages: 86-92
Date Published: 01-01-2015
Vol. 3 No. 01 (2015): Malaya Journal of Matematik (MJM)

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