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Analytic treatment of nonlinear evolution equations using first integral method

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Abstract

In this paper, we show the applicability of the first integral method to combined KdV–mKdV equation, Pochhammer–Chree equation and coupled nonlinear evolution equations. The power of this manageable method is confirmed by applying it for three selected nonlinear evolution equations. This approach can also be applied to other nonlinear differential equations.

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Authors and Affiliations

  1. Eskişehir Osmangazi University, Art-Science Faculty, Department of Mathematics, Eskişehir, Türkiye

    AHMET BEKIR & ÖMER ÜNSAL

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  1. AHMET BEKIR
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  2. ÖMER ÜNSAL
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Correspondence to AHMET BEKIR.

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BEKIR, A., ÜNSAL, Ö. Analytic treatment of nonlinear evolution equations using first integral method. Pramana - J Phys 79, 3–17 (2012). https://doi.org/10.1007/s12043-012-0282-9

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  • DOI: https://doi.org/10.1007/s12043-012-0282-9

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