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1-Soliton solution of the generalized Zakharov–Kuznetsov equation with nonlinear dispersion and time-dependent coefficients
Journal article   Peer reviewed

1-Soliton solution of the generalized Zakharov–Kuznetsov equation with nonlinear dispersion and time-dependent coefficients

Anjan Biswas
Physics letters. A, Vol.373(33), pp.2931-2934
10/08/2009
DOI: https://doi.org/10.1016/j.physleta.2009.06.029

Abstract

Integrability Nonlinear dispersion Solitons
In this Letter, the 1-soliton solution of the Zakharov–Kuznetsov equation with power law nonlinearity and nonlinear dispersion along with time-dependent coefficients is obtained. There are two models for this kind of an equation that are studied. The constraint relation between these time-dependent coefficients is established for the solitons to exist. Subsequently, this equation is again analysed with generalized evolution. The solitary wave ansatz is used to carry out this investigation.

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