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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

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  • Sahoo, S.
  • Saha Ray, S.

Abstract

In the present paper, we construct the analytical exact solutions of a nonlinear evolution equation in mathematical physics; namely time fractional modified KdV equation by using (G′/G)-expansion method and improved (G′/G)-expansion method. As a result, new types of exact analytical solutions are obtained.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:448:y:2016:i:c:p:265-282
    DOI: 10.1016/j.physa.2015.12.072
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    References listed on IDEAS

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    1. Nagatani, Takashi, 1999. "TDGL and MKdV equations for jamming transition in the lattice models of traffic," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 264(3), pages 581-592.
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    Cited by:

    1. Lei Fu & Yaodeng Chen & Hongwei Yang, 2019. "Time-Space Fractional Coupled Generalized Zakharov-Kuznetsov Equations Set for Rossby Solitary Waves in Two-Layer Fluids," Mathematics, MDPI, vol. 7(1), pages 1-13, January.
    2. Lu, Changna & Fu, Chen & Yang, Hongwei, 2018. "Time-fractional generalized Boussinesq equation for Rossby solitary waves with dissipation effect in stratified fluid and conservation laws as well as exact solutions," Applied Mathematics and Computation, Elsevier, vol. 327(C), pages 104-116.
    3. 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.
    4. Hashemi, M.S., 2018. "Invariant subspaces admitted by fractional differential equations with conformable derivatives," Chaos, Solitons & Fractals, Elsevier, vol. 107(C), pages 161-169.

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