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The First Integral Method for the time fractional Kaup-Boussinesq System with time dependent coefficient

Author

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  • Kilic, Bulent
  • Inc, Mustafa

Abstract

The first integral method (FIM) is applied to reach the different type solutions of the time fractional Kaup-Boussinesq (fKB) system with time dependent coefficient. It is obtained the envelope, bell shaped, triangular and kink soliton solutions of this equation. The method is an effective one to reach the different types of solutions of fractional nonlinear partial differential equations (fNPDE).

Suggested Citation

  • Kilic, Bulent & Inc, Mustafa, 2015. "The First Integral Method for the time fractional Kaup-Boussinesq System with time dependent coefficient," Applied Mathematics and Computation, Elsevier, vol. 254(C), pages 70-74.
    • Handle: RePEc:eee:apmaco:v:254:y:2015:i:c:p:70-74
    DOI: 10.1016/j.amc.2014.12.094
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    Cited by:

    1. Akram, Ghazala & Sadaf, Maasoomah & Zainab, Iqra, 2022. "Observations of fractional effects of β-derivative and M-truncated derivative for space time fractional Phi-4 equation via two analytical techniques," Chaos, Solitons & Fractals, Elsevier, vol. 154(C).
    2. Lei Fu & Hongwei Yang, 2019. "An Application of (3+1)-Dimensional Time-Space Fractional ZK Model to Analyze the Complex Dust Acoustic Waves," Complexity, Hindawi, vol. 2019, pages 1-15, August.
    3. Akbar, Yasir & Afsar, Haleem & Al-Mubaddel, Fahad S & Abu-Hamdeh, Nidal H. & Abusorrah, Abdullah M., 2021. "On the solitary wave solution of the viscosity capillarity van der Waals p-system along with Painleve analysis," Chaos, Solitons & Fractals, Elsevier, vol. 153(P1).

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