Symmetry Reductions and Explicit Solutions for a GeneralizedZakharov–Kuznetsov Equation

Yan Zhi-Lian; Liu Xi-Qiang

doi:10.1088/0253-6102/45/1/004

Symmetry Reductions and Explicit Solutions for a Generalized Zakharov–Kuznetsov Equation

Yan Zhi-Lian¹ and Liu Xi-Qiang¹

Published under licence by IOP Publishing Ltd
Communications in Theoretical Physics, Volume 45, Number 1 Citation Yan Zhi-Lian and Liu Xi-Qiang 2006 Commun. Theor. Phys. 45 29 DOI 10.1088/0253-6102/45/1/004

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¹ School of Mathematical Sciences, Liaocheng University, Liaocheng 252059, China

Dates

Received 28 April 2005

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Abstract

Two types of symmetry of a generalized Zakharov–Kuznetsov equation are obtained via a direct symmetry method. By selecting suitable parameters occurring in the symmetries, we also find some symmetry reductions and new explicit solutions of the generalized Zakharov–Kuznetsov equation.

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