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Improved ( )-Expansion Method for the Space and Time Fractional Foam Drainage and KdV Equations

Author

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  • Ali Akgül
  • Adem Kılıçman
  • Mustafa Inc

Abstract

The fractional complex transformation is used to transform nonlinear partial differential equations to nonlinear ordinary differential equations. The improved ( )-expansion method is suggested to solve the space and time fractional foam drainage and KdV equations. The obtained results show that the presented method is effective and appropriate for solving nonlinear fractional differential equations.

Suggested Citation

  • Ali Akgül & Adem Kılıçman & Mustafa Inc, 2013. "Improved ( )-Expansion Method for the Space and Time Fractional Foam Drainage and KdV Equations," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-7, September.
    • Handle: RePEc:hin:jnlaaa:414353
    DOI: 10.1155/2013/414353
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    Cited by:

    1. El-Sheikh, Mohamed M.A. & Seadawy, Aly R. & Ahmed, Hamdy M. & Arnous, Ahmed H. & Rabie, Wafaa B., 2020. "Dispersive and propagation of shallow water waves as a higher order nonlinear Boussinesq-like dynamical wave equations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 537(C).

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