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Application of the \((G^{\prime}\)/\(G)\)-expansion method for the Burgers, Burgers–Huxley and modified Burgers–KdV equations

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Abstract

In this work, we present travelling wave solutions for the Burgers, Burgers–Huxley and modified Burgers–KdV equations. The (G′/G)-expansion method is used to determine travelling wave solutions of these sets of equations. The travelling wave solutions are expressed by the hyperbolic functions, the trigonometric functions and the rational functions. It is shown that the proposed method is direct, effective and can be used for many other nonlinear evolution equations in mathematical physics.

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Authors and Affiliations

  1. Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran

    H KHEIRI, M R MOGHADDAM & V VAFAEI

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  1. H KHEIRI
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  2. M R MOGHADDAM
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  3. V VAFAEI
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Correspondence to H KHEIRI.

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KHEIRI, H., MOGHADDAM, M.R. & VAFAEI, V. Application of the \((G^{\prime}\)/\(G)\)-expansion method for the Burgers, Burgers–Huxley and modified Burgers–KdV equations. Pramana - J Phys 76, 831–842 (2011). https://doi.org/10.1007/s12043-011-0070-y

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  • DOI: https://doi.org/10.1007/s12043-011-0070-y

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