\(N\)-fold Darboux transformation of the discrete PT-symmetric nonlinear Schrödinger equation and new soliton solutions over the nonzero background

DOI10.1111/sapm.12677zbMath1543.35224MaRDI QIDQ6575467

Min Li, Chuanxin Xu, Licong An, Tao Xu

Publication date: 20 July 2024

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

asymptotic analysissoliton solutionsDarboux transformationdiscrete PT-symmetric nonlinear Schrödinger equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for higher-order parabolic equations (35K35) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) Second-order parabolic systems (35K40) Soliton solutions (35C08) Time-dependent Schrödinger equations and Dirac equations (35Q41)

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