Painleve analysis, Auto-Backlund transformation and new exact solutions for improved modied KdV equation

  • Authors

    • Omar H. El-Kalaawy Beni-Suef University
    • R. B. Aldenari
    2014-07-26
    https://doi.org/10.14419/ijamr.v3i3.2940
  • Improved modied Korteweg-de Vries (IMKdV) equation is shown to be non-integrable using Painleve analysis. Exact travelling wave solutions are obtained using auto-Backlund transformation and Linearized transformation.

    Keywords: IMKdV equation; Painleve analysis; extended homogeneous balance method, auto-Backlund transformation, Linearized transformation, and exact solutions.

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  • How to Cite

    El-Kalaawy, O. H., & Aldenari, R. B. (2014). Painleve analysis, Auto-Backlund transformation and new exact solutions for improved modied KdV equation. International Journal of Applied Mathematical Research, 3(3), 265-272. https://doi.org/10.14419/ijamr.v3i3.2940