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1-Soliton solution of the complex KdV equation in plasmas with power law nonlinearity and time-dependent coefficients
Journal article   Peer reviewed

1-Soliton solution of the complex KdV equation in plasmas with power law nonlinearity and time-dependent coefficients

Sami Atif, Daniela Milovic and Anjan Biswas
Applied mathematics and computation, Vol.217(4), pp.1785-1789
15/10/2010
DOI: https://doi.org/10.1016/j.amc.2010.02.025

Abstract

Complex KdV equation Integrability Perturbations Solitons
In this paper, the complex Korteweg–de Vries equation with power law nonlinearity is studied in presence of perturbation terms. The exact 1-soliton solution is obtained. It will be seen that the time-dependent coefficients must be simply Riemann integrable for the solitons to exist. The solitary wave ansatz is used to carry out the integration.

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