Singular solutions of the nonlocal nonlinear Schrödinger equation
Department of Mathematics, Lishui University, 323000, Lishui, Zhejiang Province, People’s Republic of China
Accepted: 25 September 2022
Published online: 19 October 2022
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.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2022. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.