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Zbl 1154.35443
Wazwaz, Abdul-Majid
The extended tanh method for new compact and noncompact solutions for the KP-BBM and the ZK-BBM equations. (English)
[J] Chaos Solitons Fractals 38, No. 5, 1505-1516 (2008). ISSN 0960-0779

Summary: This paper is devoted to studying the KP-BBM and the ZK-BBM equations. The extended tanh method is used to conduct the analysis. The KP-BBM and the ZK-BBM equations give rise to compactons solutions: solitons with the absence of infinite tails, solitons: nonlinear localized waves of infinite support, solitary patterns solutions having infinite slopes or cusps, and plane periodic solutions. The work confirms the power of the proposed method.
MSC 2000:
*35Q53 KdV-like equations
35B10 Periodic solutions of PDE
35Q51 Solitons

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