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Combined Exp‐Function Ansatz Method and Applications

Author

Listed:
  • Gui Mu
  • Jun Liu
  • Zhengde Dai
  • Xi Liu

Abstract

Our aim is to present a combined Exp‐function ansatz method. This method replaces the traditional assumptions of multisolitons by a combination of the hyperbolic functions and triangle functions in Hirota bilinear forms of nonlinear evolution equation. Using this method, we can obtain many new type analytical solutions of various nonlinear evolution equations including multisoliton solutions as well as breath‐like solitons solutions. These solutions will exhibit interesting dynamic diversity.

Suggested Citation

  • Gui Mu & Jun Liu & Zhengde Dai & Xi Liu, 2013. "Combined Exp‐Function Ansatz Method and Applications," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:234319
    DOI: 10.1155/2013/234319
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    References listed on IDEAS

    as
    1. Bekir, A., 2007. "Painlevé test for some (2+1)-dimensional nonlinear equations," Chaos, Solitons & Fractals, Elsevier, vol. 32(2), pages 449-455.
    2. J. Jagan Mohan & G. V. S. R. Deekshitulu, 2012. "Fractional Order Difference Equations," International Journal of Differential Equations, Hindawi, vol. 2012, pages 1-11, November.
    3. H. Jafari & H. Tajadodi, 2010. "He's Variational Iteration Method for Solving Fractional Riccati Differential Equation," International Journal of Differential Equations, Hindawi, vol. 2010, pages 1-8, March.
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