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Dynamics of optical solitons and nonautonomous complex wave solutions to the nonlinear Schrodinger equation with variable coefficients

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Abstract

Variable coefficients nonlinear evolution equations offer us with more real aspects in the inhomogeneities of media and nonuniformities of boundaries than their counter constant coefficients in some real-world problems. Under consideration is a nonlinear variable coefficients Schrödinger’s equation with spatio-temporal dispersion in the Kerr law media. We are aimed at constructing novel solutions to the equation under consideration. Bright and combined dark–bright optical solitons are successfully revealed with aid of the complex amplitude ansatz scheme. Using two test functions, two nonautonomous complex wave solutions in dark and bright optical solitons forms are successfully revealed. The effect of the variable coefficients on the reported results can be clearly seen on the 3-dimensional and contour graphs.

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Authors and Affiliations

  1. Department of Computer Engineering, Biruni University, Istanbul, Turkey

    Tukur Abdulkadir Sulaiman & Abdullahi Yusuf

  2. Department of Mathematics, Federal University Dutse, Dutse, Jigawa, Nigeria

    Tukur Abdulkadir Sulaiman & Abdullahi Yusuf

  3. Department of Mathematics and Statistics, Jordan University of Science and Technology, Irbid, Jordan

    Marwan Alquran

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  1. Tukur Abdulkadir Sulaiman
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  2. Abdullahi Yusuf
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Correspondence to Marwan Alquran.

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Sulaiman, T.A., Yusuf, A. & Alquran, M. Dynamics of optical solitons and nonautonomous complex wave solutions to the nonlinear Schrodinger equation with variable coefficients. Nonlinear Dyn 104, 639–648 (2021). https://doi.org/10.1007/s11071-021-06284-8

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