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The optical soliton solutions of generalized coupled nonlinear Schrödinger-Korteweg-de Vries equations

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Abstract

The quest for exact solutions to nonlinear partial differential equations has become a remarkable research subject in recent years. In this study, we employ the Kudryashov method and sub-equation method to retrieve the bright and dark soliton solutions of the generalized nonlinear Schrödinger-Korteweg-de Vries equations. Other soliton-type solutions like the periodic, singular, and rational solutions are achieved as well. These coupled equations occur in phenomena of interactions between short and long dispersive waves which are significant in various fields of applied sciences and engineering. The solutions obtained in this study have been verified with the help of the Mathematica package software. Furthermore, we present graphical representations of the solutions of bright and dark solitons for a useful understanding of the behavior and physical structures of the coupled equations considered.

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Authors and Affiliations

  1. Department of Mathematics, Lafayette College, Easton, Pennsylvania, USA

    Lanre Akinyemi

  2. Department of Mathematics, Nevşehir Hacı Bektaş Veli University, Nevşehir, Turkey

    Mehmet Şenol

  3. Department of Mathematics, Drexel University, Philadelphia, Pennsylvania, USA

    Udoh Akpan

  4. Department of Mathematics, Ohio University, Athens, Ohio, USA

    Kayode Oluwasegun

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  1. Lanre Akinyemi
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  2. Mehmet Şenol
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  4. Kayode Oluwasegun
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Akinyemi, L., Şenol, M., Akpan, U. et al. The optical soliton solutions of generalized coupled nonlinear Schrödinger-Korteweg-de Vries equations. Opt Quant Electron 53, 394 (2021). https://doi.org/10.1007/s11082-021-03030-7

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