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New wave approach to the conformable resonant nonlinear Schödinger’s equation with Kerr-law nonlinearity

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Abstract

In this research, we analyze travelling wave solutions of the conformable resonant nonlinear Schrödinger’s equation with Kerr-law nonlinearity by using an analytical approach which is the rational sine-Gordon expansion method. The purposed technique is a significant method to solve nonlinear evolution equations having high nonlinearity. We found some explicit solutions, including bright soliton and dark soliton, which have important roles in fields such as quantum physics, optical fibres by this way. We illustrate some graphics corresponding to the obtained wave solutions under the appropriate coefficients to help better understand their physical meaning of them.

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The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.

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Authors and Affiliations

  1. Department of Education, Final International University, Kyrenia, 99370, Mersin 10, Turkey

    Gulnur Yel

  2. Department of Mathematics, Firat University, Elazig, Turkey

    Hasan Bulut

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  1. Gulnur Yel
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Correspondence to Gulnur Yel.

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Yel, G., Bulut, H. New wave approach to the conformable resonant nonlinear Schödinger’s equation with Kerr-law nonlinearity. Opt Quant Electron 54, 252 (2022). https://doi.org/10.1007/s11082-022-03655-2

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