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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, Hindawi, vol. 2014, pages 1-10, November.
    • Handle: RePEc:hin:jnlaaa:259190
    DOI: 10.1155/2014/259190
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