1-soliton solution of the Zakharov-Kuznetsov equation with dual-power law nonlinearity. (English) Zbl 1221.35312

Biswas, Anjan; Zerrad, Essaid

Commun. Nonlinear Sci. Numer. Simul. 14, No. 9-10, 3574-3577 (2009).

Summary: The Zakharov-Kuznetsov equation, with dual-power law nonlinearity is solved by using the solitary wave ansatze and 1-soliton solution is obtained. Using this soliton solution, a couple of conserved quantities, of this equation, are calculated.

MSC:

35Q51	Soliton equations
35Q53	KdV equations (Korteweg-de Vries equations)

Keywords:

solitons; integrals of motion; integrability

References:

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