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Exact solutions of the Korteweg-de Vries equation with space and time dependent coefficients by the extended unified method
Journal article   Peer reviewed

Exact solutions of the Korteweg-de Vries equation with space and time dependent coefficients by the extended unified method

H. I. Abdel-Gawad and Mohamed Osman
Indian journal of pure and applied mathematics, Vol.45(1), pp.1-12
01/02/2014
DOI: https://doi.org/10.1007/s13226-014-0047-x

Abstract

Applications of Mathematics Article general Mathematics Mathematics and Statistics Numerical Analysis
Recently the unified method for finding traveling wave solutions of nonlinear evolution equations was proposed by one of the authors. It was shown that, this method unifies all the methods being used to find these solutions. In this paper, we extend this method to find a class of formal exact solutions to Korteweg-de Vries equation with space-time dependent coefficients.

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