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Exact Solutions of the Time Fractional BBM-Burger Equation by Novel -Expansion Method

Author

Listed:
  • Muhammad Shakeel
  • Qazi Mahmood Ul-Hassan
  • Jamshad Ahmad
  • Tauseef Naqvi

Abstract

The fractional derivatives are used in the sense modified Riemann-Liouville to obtain exact solutions for BBM-Burger equation of fractional order. This equation can be converted into an ordinary differential equation by using a persistent fractional complex transform and, as a result, hyperbolic function solutions, trigonometric function solutions, and rational solutions are attained. The performance of the method is reliable, useful, and gives newer general exact solutions with more free parameters than the existing methods. Numerical results coupled with the graphical representation completely reveal the trustworthiness of the method.

Suggested Citation

  • Muhammad Shakeel & Qazi Mahmood Ul-Hassan & Jamshad Ahmad & Tauseef Naqvi, 2014. "Exact Solutions of the Time Fractional BBM-Burger Equation by Novel -Expansion Method," Advances in Mathematical Physics, Hindawi, vol. 2014, pages 1-15, September.
    • Handle: RePEc:hin:jnlamp:181594
    DOI: 10.1155/2014/181594
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    Cited by:

    1. Muhammad Shakeel & Attaullah & Essam Roshdy El-Zahar & Nehad Ali Shah & Jae Dong Chung, 2022. "Generalized Exp-Function Method to Find Closed Form Solutions of Nonlinear Dispersive Modified Benjamin–Bona–Mahony Equation Defined by Seismic Sea Waves," Mathematics, MDPI, vol. 10(7), pages 1-17, March.
    2. Attaullah & Muhammad Shakeel & Nehad Ali Shah & Jae Dong Chung, 2022. "Modified Exp-Function Method to Find Exact Solutions of Ionic Currents along Microtubules," Mathematics, MDPI, vol. 10(6), pages 1-10, March.

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