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The Generalized Projective Riccati Equations Method for Solving Nonlinear Evolution Equations in Mathematical Physics

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  • E. M. E. Zayed
  • K. A. E. Alurrfi

Abstract

We apply the generalized projective Riccati equations method to find the exact traveling wave solutions of some nonlinear evolution equations with any‐order nonlinear terms, namely, the nonlinear Pochhammer‐Chree equation, the nonlinear Burgers equation and the generalized, nonlinear Zakharov‐Kuznetsov equation. This method presents wider applicability for handling many other nonlinear evolution equations in mathematical physics.

Suggested Citation

  • E. M. E. Zayed & K. A. E. Alurrfi, 2014. "The Generalized Projective Riccati Equations Method for Solving Nonlinear Evolution Equations in Mathematical Physics," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:259190
    DOI: 10.1155/2014/259190
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    References listed on IDEAS

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    1. Chen, Yong & Wang, Qi, 2005. "Extended Jacobi elliptic function rational expansion method and abundant families of Jacobi elliptic function solutions to (1+1)-dimensional dispersive long wave equation," Chaos, Solitons & Fractals, Elsevier, vol. 24(3), pages 745-757.
    2. Zhang, Sheng, 2008. "Application of Exp-function method to high-dimensional nonlinear evolution equation," Chaos, Solitons & Fractals, Elsevier, vol. 38(1), pages 270-276.
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