Singular solutions of the nonlocal nonlinear Schrödinger equation

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 s...

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Veröffentlicht in:	European physical journal plus 2022-10, Vol.137 (10), p.1151, Article 1151
1. Verfasser:	Lin, Bingwen
Format:	Artikel
Sprache:	eng
Schlagworte:	Applied and Technical Physics Atomic Complex Systems Condensed Matter Physics Eigenvectors Gravitational waves Mathematical analysis Mathematical and Computational Physics Molecular Optical and Plasma Physics Physics Physics and Astronomy Regular Article Schrodinger equation Spacetime Theoretical
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Zusammenfassung:	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.
ISSN:	2190-5444 2190-5444
DOI:	10.1140/epjp/s13360-022-03327-w