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On nonautonomous complex wave solutions described by the coupled Schrödinger–Boussinesq equation with variable-coefficients

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Abstract

This paper investigates the coupled Schrödinger–Boussinesq equation with variable-coefficients using the unified method. New nonautonomous complex wave solutions are obtained and classified into two categories, namely polynomial function and rational function solutions. For the polynomial functions emerge the complex solitary, complex soliton and complex elliptic wave solutions, while for the rational function are observed complex periodic rational and complex hyperbolic rational wave solutions. The physical insight and the dynamical behavior of the solutions describing the wave propagation in laser or plasma physics are discussed and analysed for different choices of the arbitrary functions in the solutions.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, Cairo University, Giza, Egypt

    M. S. Osman

  2. Department of Electrical Engineering, Polytechnic of Porto, Institute of Engineering, Rua Dr. Antonio Bernardino de Almeida, Porto, Portugal

    J. A. T. Machado

  3. Department of Mathematics, Cankaya University, Öǧretmenler Cad., 1406530, Ankara, Turkey

    Dumitru Baleanu

  4. Institute of Space Sciences, Magurele, Bucharest, Romania

    Dumitru Baleanu

Authors
  1. M. S. Osman
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  2. J. A. T. Machado
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  3. Dumitru Baleanu
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Correspondence to M. S. Osman.

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Osman, M.S., Machado, J.A.T. & Baleanu, D. On nonautonomous complex wave solutions described by the coupled Schrödinger–Boussinesq equation with variable-coefficients. Opt Quant Electron 50, 73 (2018). https://doi.org/10.1007/s11082-018-1346-y

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