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Analytical study of exact traveling wave solutions for time-fractional nonlinear Schrödinger equations

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Abstract

The present paper deals with the time-fractional unstable nonlinear Schrödinger equation and the time fractional modified unstable nonlinear Schrödinger equation in the conformable context. For this aim, the modified Kudryashov method and the sine–Gordon expansion approach have been applied to retrieve a series of exact solutions for the previously mentioned equations. The potential of the schemes in producing exact traveling wave solutions of nonlinear conformable time-fractional equations is demonstrated.

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Authors and Affiliations

  1. Department of Mathematics, Guilan Science and Research Branch, Islamic Azad University, Rasht, Iran

    Mousa Ilie

  2. Department of Mathematics, Rasht Branch, Islamic Azad University, Rasht, Iran

    Mousa Ilie & Jafar Biazar

  3. Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Guilan, P.O. Box. 41335-1914, Rasht, Guilan, Iran

    Jafar Biazar

  4. Department of Engineering Sciences, Faculty of Technology and Engineering East of Guilan, University of Guilan, Rudsar-Vajargah, P.C. 44891-63157, Iran

    Zainab Ayati

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  1. Mousa Ilie
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  2. Jafar Biazar
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Correspondence to Jafar Biazar.

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Ilie, M., Biazar, J. & Ayati, Z. Analytical study of exact traveling wave solutions for time-fractional nonlinear Schrödinger equations. Opt Quant Electron 50, 413 (2018). https://doi.org/10.1007/s11082-018-1682-y

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