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Degenerate solitons in a generalized nonlinear Schrödinger equation

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Abstract

Today, nonlinear Schrödinger-type equations are the focus of explorers and scientists. Hereby, we look into a generalized nonlinear Schrödinger equation by constructing the modified generalized Darboux transformation and analysing the type-I, type-II and type-III degenerate solitons for generalized nonlinear Schrödinger equation via some semirational solutions. Type-I degenerate solitons refer to the degenerate solitons, type-II degenerate solitons mean the interactions between the solitons and the degenerate solitons, and type-III degenerate solitons denote the bound states among a series of the degenerate solitons. We hope that the mathematical research method used in this paper could provide some theoretical assistance for future research on the nonlinear Schrödinger-type equations.

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Authors and Affiliations

  1. Department of Basic, Air Force Early Warning Academy, Wuhan, 430019, Hubei, China

    Meng Wang & Yan-Fei Yang

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  1. Meng Wang
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  2. Yan-Fei Yang
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Correspondence to Meng Wang.

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Wang, M., Yang, YF. Degenerate solitons in a generalized nonlinear Schrödinger equation. Nonlinear Dyn 112, 3763–3769 (2024). https://doi.org/10.1007/s11071-023-09207-x

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