Discrete nonlocal nonlinear Schrödinger systems: Integrability, inverse scattering and solitons
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Publication:5113442
DOI10.1088/1361-6544/ab74aezbMath1446.37062OpenAlexW3033056400MaRDI QIDQ5113442
Mark J. Ablowitz, Xu-Dan Luo, Ziad H. Musslimani
Publication date: 11 June 2020
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/1361-6544/ab74ae
inverse scattering transformintegrable systemsdiscrete nonlinear Schrödingerintegrable nonlocal reductions
NLS equations (nonlinear Schrödinger equations) (35Q55) Discrete version of topics in analysis (39A12) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Lattice dynamics; integrable lattice equations (37K60) Integrable difference and lattice equations; integrability tests (39A36)
Related Items (15)
Darboux transformation and exact solutions of the variable coefficient nonlocal Newell-Whitehead equation ⋮ Solutions to integrable space-time shifted nonlocal equations ⋮ Bounded multi-soliton solutions and their asymptotic analysis for the reversal-time nonlocal nonlinear Schrödinger equation ⋮ Discrete solutions and interaction dynamics for coupled nonlocal discrete nonlinear Schrödinger equations in an inhomogeneous optical fiber ⋮ \(l^2\)-Sobolev space bijectivity of the scattering-inverse scattering transforms related to defocusing Ablowitz-Ladik systems ⋮ Dbar‐approach to coupled nonlocal NLS equation and general nonlocal reduction ⋮ Breather and rogue wave solutions for the generalized discrete Hirota equation via Darboux-Bäcklund transformation ⋮ The Fokas–Lenells equations: Bilinear approach ⋮ Nonautonomous dynamics of local and nonlocal Fokas–Lenells models ⋮ Collapse dynamics for two-dimensional space-time nonlocal nonlinear Schrödinger equations ⋮ Integrable space-time shifted nonlocal nonlinear equations ⋮ On \((2+1)\)-dimensional mixed AKNS hierarchy ⋮ Asymptotic stage of modulation instability for the nonlocal nonlinear Schrödinger equation ⋮ Discrete nonlocal nonlinear Schrödinger equation on graphs: dynamics of PT-symmetric solitons in discrete networks ⋮ Time-dependent Duhamel renormalization method with multiple conservation and dissipation laws
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