Travelling-wave solutions for some fractional partial differential equation by means of generalized trigonometry functions

Authors

  • Zakia Hammouch

    Department of Mathematics and Applications Faculty of Sciences and Technology Moulay Ismail University
  • Toufik Mekkaoui

Received date: May 14, 2012

Accepted date: May 27, 2012

Published date: May 28, 2012

DOI:

https://doi.org/10.14419/ijamr.v1i2.66

Abstract

Making use of a Fan's sub-equation method and the Mittag-Leffler
function with aid of the symbolic computation system Maple we construct a family of traveling wave solutions of the Burgers and the KdV equations. The obtained results include periodic, rational and soliton-like solutions.

Author Biography

  • Zakia Hammouch, Department of Mathematics and Applications Faculty of Sciences and Technology Moulay Ismail University

    PhD Applied Mathematics & Fluids Mechanics

    Assistant Professor

     

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How to Cite

Hammouch, Z., & Mekkaoui, T. (2012). Travelling-wave solutions for some fractional partial differential equation by means of generalized trigonometry functions. International Journal of Applied Mathematical Research, 1(2), 206-212. https://doi.org/10.14419/ijamr.v1i2.66

Received date: May 14, 2012

Accepted date: May 27, 2012

Published date: May 28, 2012