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 ()
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H. I. Abdel-Gawad: Cairo University
Mohamed Osman: Cairo University

Indian Journal of Pure and Applied Mathematics, 2014, vol. 45, issue 1, 1-12

Abstract: Abstract 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.

Keywords: Exact solution; extended unified method; Korteweg-de Vries equation; variable coefficients (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1007/s13226-014-0047-x

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