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Optical soliton solutions and various breathers lump interaction solutions with periodic wave for nonlinear Schrödinger equation with quadratic nonlinear susceptibility

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Abstract

In this article, we cover some soliton solutions and breathers for nonlinear Schrödinger equation with quadratic nonlinear susceptibility like that Breather lump wave solutions, Interaction between lump periodic and kink wave, lump soliton solution, Lump one kink solution, Lump two kink solution, multiwave solution, periodic cross kink solution, periodic cross lump wave solution, periodic wave solution and rogue wave solution. We also explore some rational solution such as M-shaped rational solutions, M-shaped rational solutions with one and two kink, kink cross rational solution and periodic cross rational solution. Also, we acquire homoclinic breather solution, M-shaped interaction with rogue and kink and M-shaped interaction with periodic and kink. Furthermore we also study the stability of our solutions. we also represents our solutions graphically such as 3D, 2D, contour, density plot and stream plot.

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Authors and Affiliations

  1. Department of Mathematics, COMSATS University Islamabad, Lahore Campus, Pakistan

    Syed T. R. Rizvi, Samia Ahmed & Azhar Bashir

  2. Mathematics Department, Faculty of Science, Taibah University, Al-Madinah Al-Munawarah, 41411, Kingdom of Saudi Arabia

    Aly R. Seadawy

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  1. Syed T. R. Rizvi
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  2. Aly R. Seadawy
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  3. Samia Ahmed
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  4. Azhar Bashir
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Correspondence to Aly R. Seadawy.

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Rizvi, S.T.R., Seadawy, A.R., Ahmed, S. et al. Optical soliton solutions and various breathers lump interaction solutions with periodic wave for nonlinear Schrödinger equation with quadratic nonlinear susceptibility. Opt Quant Electron 55, 286 (2023). https://doi.org/10.1007/s11082-022-04402-3

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