Nonintegrable spatial discrete nonlocal nonlinear schrödinger equation

DOI10.1063/1.5123151zbMath1425.35179arXiv1908.04745OpenAlexW2981827678WikidataQ91058157 ScholiaQ91058157MaRDI QIDQ4973008

Zong-Wei Xu, Jia-Liang Ji, Zuo-nong Zhu

Publication date: 29 November 2019

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.04745

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Discrete version of topics in analysis (39A12)

Related Items (5)

On a coupled nonlocal nonlinear Schrödinger system ⋮ Multi-place physics and multi-place nonlocal systems ⋮ Exotic vector freak waves in the nonlocal nonlinear Schrödinger equation ⋮ Nanoptera in higher-order nonlinear Schrödinger equations: effects of discretization ⋮ Discrete nonlocal nonlinear Schrödinger equation on graphs: dynamics of PT-symmetric solitons in discrete networks

Uses Software

• dverk

Cites Work

• Unnamed Item
• \(N\)-soliton solution for an integrable nonlocal discrete focusing nonlinear Schrödinger equation
• The focusing nonlinear Schrödinger equation: Effect of the coupling to a low frequency field
• A Darboux-Bäcklund transformation associated with a discrete nonlinear Schrödinger equation
• The discrete self-trapping equation
• Similarity structure of wave-collapse
• Peregrine rogue wave dynamics in the continuous nonlinear Schrödinger system with parity-time symmetric Kerr nonlinearity
• Integrable multidimensional versions of the nonlocal nonlinear Schrödinger equation
• Inverse scattering transform for the integrable nonlocal nonlinear Schrödinger equation
• Nonlocal nonlinear Schrödinger equation and its discrete version: Soliton solutions and gauge equivalence
• Water waves, nonlinear Schrödinger equations and their solutions
• Nonlinear Waves in Integrable and Nonintegrable Systems
• Translationally invariant nonlinear Schrödinger lattices
• Nonlinear differential−difference equations
• Nonlinear differential–difference equations and Fourier analysis
• Blow-up in Nonlinear Schroedinger Equations-II Similarity structure of the blow-up singularity
• Blow-up in Nonlinear Schroedinger Equations-I A General Review
• Integrable Nonlocal Nonlinear Equations
• The Propagation of Nonlinear Wave Envelopes
• Wave Instabilities

This page was built for publication: Nonintegrable spatial discrete nonlocal nonlinear schrödinger equation