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

Author

Listed:
  • H. I. Abdel-Gawad

    (Cairo University)

  • Mohamed Osman

    (Cairo University)

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.

Suggested Citation

  • H. I. Abdel-Gawad & Mohamed Osman, 2014. "Exact solutions of the Korteweg-de Vries equation with space and time dependent coefficients by the extended unified method," Indian Journal of Pure and Applied Mathematics, Springer, vol. 45(1), pages 1-12, February.
    • Handle: RePEc:spr:indpam:v:45:y:2014:i:1:d:10.1007_s13226-014-0047-x
    DOI: 10.1007/s13226-014-0047-x
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    Cited by:

    1. Jhangeer, Adil & Beenish,, 2024. "Study of magnetic fields using dynamical patterns and sensitivity analysis," Chaos, Solitons & Fractals, Elsevier, vol. 182(C).

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