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New approach for exact solutions of time fractional Cahn–Allen equation and time fractional Phi-4 equation

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  • Tariq, Hira
  • Akram, Ghazala

Abstract

In this article, new exact analytical solutions of some nonlinear evolution equations (NLEEs) arising in science, engineering and mathematical physics, namely time fractional Cahn–Allen equation and time fractional Phi-4 equation are developed using tanh method by means of fractional complex transform. The obtained results are demonstrated by graphs for the new solutions.

Suggested Citation

  • Tariq, Hira & Akram, Ghazala, 2017. "New approach for exact solutions of time fractional Cahn–Allen equation and time fractional Phi-4 equation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 473(C), pages 352-362.
    • Handle: RePEc:eee:phsmap:v:473:y:2017:i:c:p:352-362
    DOI: 10.1016/j.physa.2016.12.081
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    References listed on IDEAS

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    1. He, Ji-Huan & Wu, Xu-Hong, 2006. "Exp-function method for nonlinear wave equations," Chaos, Solitons & Fractals, Elsevier, vol. 30(3), pages 700-708.
    2. Sahoo, S. & Saha Ray, S., 2016. "Solitary wave solutions for time fractional third order modified KdV equation using two reliable techniques (G′/G)-expansion method and improved (G′/G)-expansion method," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 448(C), pages 265-282.
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    Cited by:

    1. Inc, Mustafa & Yusuf, Abdullahi & Isa Aliyu, Aliyu & Baleanu, Dumitru, 2018. "Time-fractional Cahn–Allen and time-fractional Klein–Gordon equations: Lie symmetry analysis, explicit solutions and convergence analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 493(C), pages 94-106.

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