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Highly dispersive optical soliton molecules to dual-mode nonlinear Schrödinger wave equation in cubic law media

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Abstract

In the manuscript under investigation, the dual-mode form of nonlinear Schr ödinger equation was examined. This model is used for studying the enlargement or absorption of dual waves in the occurrence of nonlinearity and distribution effects. Bright, dark, combined bright-dark, singular soliton, periodic, rational and solitary wave solutions of this equation are obtained. Preferred integration schemes are the extended \((G^{\prime }/G)\), sine-cosine, and semi-inverse methods. Numerical simulations of the obtained solutions were carried out for the special values of the parameters in the solutions and 3D and contour graphs were drawn. The convergence analysis of the performed schemas to the model were also demonstrated.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Arts and Sciences, Uludag University, 16059, Bursa, Turkey

    Bahadır Kopçasız & Emrullah Yaşar

  2. Mathematics Department, Faculty of Science, Taibah University, Al-Madinah Al-Munawarah, Saudi Arabia

    Aly R. Seadawy

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  1. Bahadır Kopçasız
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  2. Aly R. Seadawy
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  3. Emrullah Yaşar
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Correspondence to Aly R. Seadawy.

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Kopçasız, B., Seadawy, A.R. & Yaşar, E. Highly dispersive optical soliton molecules to dual-mode nonlinear Schrödinger wave equation in cubic law media. Opt Quant Electron 54, 194 (2022). https://doi.org/10.1007/s11082-022-03561-7

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