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

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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.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, Cairo University, Giza, Egypt

    H. I. Abdel-Gawad & Mohamed Osman

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  1. H. I. Abdel-Gawad
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  2. Mohamed Osman
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Correspondence to H. I. Abdel-Gawad.

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Abdel-Gawad, H.I., Osman, M. Exact solutions of the Korteweg-de Vries equation with space and time dependent coefficients by the extended unified method. Indian J Pure Appl Math 45, 1–12 (2014). https://doi.org/10.1007/s13226-014-0047-x

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  • DOI: https://doi.org/10.1007/s13226-014-0047-x

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