Exact solutions of the ZK-MEWequation and the Davey-Stewartson equation

  • Authors

    • E.M.E. Zayed Zagazig University, Egypt
    • Ali Filiz
    • Mehmet Ekici
    • Abdullah Sonmezoglu
    • Durgun Duran
    2014-04-04
    https://doi.org/10.14419/ijamr.v3i2.2116
  • In this paper we introduce a new version of the trial equation method for solving non-integrable partial differential equations in mathematical physics. Some exact solutions including soliton solutions, rational and elliptic function solutions to the generalized (2+1)-dimensional ZK-MEW equation and  the generalized Davey-Stewartson equation with the complex coefficients are obtained by this method.

     

    Keywords:  Extended trial equation method, generalized (2+1)-dimensional ZK-MEW equation, Davey-Stewartson equation,  soliton solution, elliptic solutions.

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    Zayed, E., Filiz, A., Ekici, M., Sonmezoglu, A., & Duran, D. (2014). Exact solutions of the ZK-MEWequation and the Davey-Stewartson equation. International Journal of Applied Mathematical Research, 3(2), 122-132. https://doi.org/10.14419/ijamr.v3i2.2116