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Singular solutions of the nonlocal nonlinear Schrödinger equation

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Abstract

The author considers Darboux transformation of three nonlocal NLS equations and proper reduction conditions for the eigenfunctions. The formulae of n-fold solutions are represented by the ratio of determinants. According to the formulae, the author obtains explicit expressions of one- and twofold solutions of these nonlocal NLS equations, which are singular and have interesting structures. These types of solutions are new for these nonlocal NLS equations.

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Authors and Affiliations

  1. Department of Mathematics, Lishui University, Lishui, 323000, Zhejiang Province, People’s Republic of China

    Bingwen Lin

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  1. Bingwen Lin
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Correspondence to Bingwen Lin.

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Lin, B. Singular solutions of the nonlocal nonlinear Schrödinger equation. Eur. Phys. J. Plus 137, 1151 (2022). https://doi.org/10.1140/epjp/s13360-022-03327-w

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