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Optical solitons for a family of nonlinear (\(1+1\))-dimensional time-space fractional Schrödinger models

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Abstract

In this paper, the sine–cosine method is employed to construct exact solutions of the space-time fractional (\(1+1\))-dimensional nonlinear Schrödinger models. Many new families of exact traveling wave solutions of these models are successfully obtained. It is shown that the proposed method provides a more powerful mathematical tool for solving nonlinear space-time fractional evolution equations in mathematical physics.

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Authors and Affiliations

  1. Department of Mathematics, Razi University, Kermanshah, Iran

    M. T. Darvishi & M. Najafi

  2. Young Researchers and Elite Club, Kermanshah Branch, Islamic Azad University, Kermanshah, Iran

    S. Ahmadian

  3. Young Researchers and Elite Club, Kerman Branch, Islamic Azad University, Kerman, Iran

    S. Baloch Arbabi

Authors
  1. M. T. Darvishi
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  2. S. Ahmadian
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  3. S. Baloch Arbabi
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  4. M. Najafi
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Correspondence to M. Najafi.

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Darvishi, M.T., Ahmadian, S., Arbabi, S.B. et al. Optical solitons for a family of nonlinear (\(1+1\))-dimensional time-space fractional Schrödinger models. Opt Quant Electron 50, 32 (2018). https://doi.org/10.1007/s11082-017-1304-0

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  • DOI: https://doi.org/10.1007/s11082-017-1304-0

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