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A Simplification for Exp‐Function Method When the Balanced Nonlinear Term Is a Certain Product

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  • Hong-Zhun Liu

Abstract

The Exp‐function method plays an important role in searching for analytic solutions of many nonlinear differential equations. In this paper, we prove that the balancing procedure in the method is unnecessary when the balanced nonlinear term is a product of the dependent variable under consideration and its derivatives. And in this case, the ansatz of the method can be simplified to be with less parameters so as to be easy to calculate.

Suggested Citation

  • Hong-Zhun Liu, 2013. "A Simplification for Exp‐Function Method When the Balanced Nonlinear Term Is a Certain Product," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:264549
    DOI: 10.1155/2013/264549
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    References listed on IDEAS

    as
    1. Ji-Huan He, 2012. "Asymptotic Methods for Solitary Solutions and Compactons," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    2. Gabriel Magalakwe & Chaudry Masood Khalique, 2013. "New Exact Solutions for a Generalized Double Sinh‐Gordon Equation," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    3. Gabriel Magalakwe & Chaudry Masood Khalique, 2013. "New Exact Solutions for a Generalized Double Sinh-Gordon Equation," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-5, August.
    4. Hasibun Naher & Farah Aini Abdullah & M. Ali Akbar, 2012. "New Traveling Wave Solutions of the Higher Dimensional Nonlinear Partial Differential Equation by the Exp-Function Method," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-14, January.
    5. Hasibun Naher & Farah Aini Abdullah & M. Ali Akbar, 2012. "New Traveling Wave Solutions of the Higher Dimensional Nonlinear Partial Differential Equation by the Exp‐Function Method," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    6. Jae-Myoung Kim & Changbum Chun, 2012. "New Exact Solutions to the KdV-Burgers-Kuramoto Equation with the Exp-Function Method," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-10, May.
    7. Ji-Huan He, 2012. "Asymptotic Methods for Solitary Solutions and Compactons," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-130, November.
    8. (Benn)Wu, Xu-Hong & He, Ji-Huan, 2008. "EXP-function method and its application to nonlinear equations," Chaos, Solitons & Fractals, Elsevier, vol. 38(3), pages 903-910.
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