Broken and unbroken \(\mathcal{PT}\)-symmetric solutions of semi-discrete nonlocal nonlinear Schrödinger equation

DOI10.1007/S11071-019-05185-1zbMath1430.37084OpenAlexW2968659879MaRDI QIDQ2296865

U. Saleem, Y. Hanif

Publication date: 18 February 2020

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-019-05185-1

zbMATH Keywords

exceptional pointsDarboux transformationmulti-soliton solutionsreverse space \(\mathcal{PT}\)-symmetrysemi-discrete nonlinear Schrödinger equation

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Symmetries, invariants, etc. in context of PDEs (35B06)

Related Items (6)

Bright soliton solutions to a nonlocal nonlinear Schrödinger equation of reverse-time type ⋮ On \(\mathcal{PT}\)-symmetric semi-discrete coupled integrable dispersionless system ⋮ Degenerate and non-degenerate solutions of \(\mathcal{PT}\)-symmetric nonlocal integrable discrete nonlinear Schrödinger equation ⋮ Nonlocal Kundu–Eckhaus equation: integrability, Riemann–Hilbert approach and Cauchy problem with step-like initial data ⋮ Discrete multi-soliton solutions and dynamics for a reverse-time nonlocal nonlinear self-dual network equation ⋮ Soliton solutions for two kinds of fourth-order nonlinear nonlocal Schrödinger equations

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• Periodic and hyperbolic soliton solutions of a number of nonlocal nonlinear equations

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