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Homoclinic breather, M-shaped rational, multiwaves and their interactional solutions for fractional quadratic-cubic nonlinear Schrödinger equation

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Abstract

This article retrieves homoclinic breather solutions, M-shape rational solutions and their interactions for fractional quadratic-cubic nonlinear Schrödinger equation (FQC-NLSE) with the help of various appropriate transformation. We also formulate periodic cross kink waves, M-shaped with one and two kink, periodic cross rational, kink cross rational, interaction with M-shape, periodic and interaction with M-shape, rogue wave and I-kink for (FQC-NLSE). We will also plot 3-D, 2-D, contour and density graphs for newly computed solutions. The dynamics of above mentioned solutions are analysed graphically by choosing appropriate parametric values.

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Authors and Affiliations

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

    Tahira Batool, Syed T. R. Rizvi & Kashif Ali

  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. Tahira Batool
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  2. Aly R. Seadawy
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Correspondence to Aly R. Seadawy.

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Batool, T., Seadawy, A.R., Rizvi, S.T.R. et al. Homoclinic breather, M-shaped rational, multiwaves and their interactional solutions for fractional quadratic-cubic nonlinear Schrödinger equation. Opt Quant Electron 54, 844 (2022). https://doi.org/10.1007/s11082-022-04280-9

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