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Exact solutions of space-time fractional EW and modified EW equations

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  • Korkmaz, Alper

Abstract

The bright soliton solutions and singular solutions are constructed for the space-time fractional EW and the space-time fractional modified EW (MEW) equations. Both equations are reduced to ordinary differential equations by the use of fractional complex transform (FCT) and properties of modified Riemann–Liouville derivative. Then, various ansatz method are implemented to construct the solutions for both equations.

Suggested Citation

  • Korkmaz, Alper, 2017. "Exact solutions of space-time fractional EW and modified EW equations," Chaos, Solitons & Fractals, Elsevier, vol. 96(C), pages 132-138.
    • Handle: RePEc:eee:chsofr:v:96:y:2017:i:c:p:132-138
    DOI: 10.1016/j.chaos.2017.01.015
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    References listed on IDEAS

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    1. Iyiola, O.S. & Tasbozan, O. & Kurt, A. & Çenesiz, Y., 2017. "On the analytical solutions of the system of conformable time-fractional Robertson equations with 1-D diffusion," Chaos, Solitons & Fractals, Elsevier, vol. 94(C), pages 1-7.
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    3. Seydi Battal Gazi Karakoç & Turabi Geyikli, 2012. "Numerical Solution of the Modified Equal Width Wave Equation," International Journal of Differential Equations, Hindawi, vol. 2012, pages 1-15, January.
    4. Yusufoğlu, E. & Bekir, A. & Alp, M., 2008. "Periodic and solitary wave solutions of Kawahara and modified Kawahara equations by using Sine–Cosine method," Chaos, Solitons & Fractals, Elsevier, vol. 37(4), pages 1193-1197.
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