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Zbl 1221.35328
Deng, Chaofa
New exact solutions to the Zakharov-Kuznetsov equation and its generalized form. (English)
[J] Commun. Nonlinear Sci. Numer. Simul. 15, No. 4, 857-868 (2010). ISSN 1007-5704

Summary: The extended hyperbolic function method is used for analytic treatment of the $(2 + 1)$-dimensional Zakharov-Kuznetsov (ZK) equation and its generalized form. We can obtained some new explicit exact solitary wave solutions, the multiple nontrivial exact periodic travelling wave solutions, the solitons solutions and complex solutions. Some known results in the literatures can be regarded as special cases. The methods employed here can also be used to solve a large class of nonlinear evolution equations.

MSC 2000:: *35Q53 KdV-like equations
35C08

Keywords: extended hyperbolic function method; Zakharov-Kuznetsov equation; solitary wave solutions; periodic travelling wave solutions; complex solutions; solitons

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Zentralblatt MATH Berlin [Germany]