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

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
Full Text:

### References:

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