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Zbl 1221.35373
Wazwaz, Abdul-Majid
The extended tanh method for the Zakharov-Kuznetsov (ZK) equation, the modified ZK equation, and its generalized forms. (English)
[J] Commun. Nonlinear Sci. Numer. Simul. 13, No. 6, 1039-1047 (2008). ISSN 1007-5704

Summary: The reliable extended tanh method, that combines tanh with coth, is used for analytic treatment of the Zakharov-Kuznetsov (ZK) equation, the modified ZK equation, and the generalized forms of these equations. New travelling wave solutions with solitons and periodic structures are determined. The power of the employed method is confirmed.
MSC 2000:
*35Q53 KdV-like equations
35Q51 Solitons

Keywords: Zakharov-Kuznetsov equation; modified ZK equation; extended tanh method; solitons; periodic solutions

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