Imaginary eigenvalues of Zakharov-Shabat problems with non-zero background
type: Item
instance of: scholarly article
title: Imaginary eigenvalues of Zakharov-Shabat problems with non-zero background
zbMATH Open document ID: 1404.35402
author: G. Biondini
author: Xu-Dan Luo
published in: Physics Letters. A
publication date: 2018-12-17T00:00:00Z
Mathematics Subject Classification ID: 35Q55
Mathematics Subject Classification ID: 47J10
zbMATH DE Number: 6993877
zbMATH Keywords: Zakharov-Shabat scattering problem
zbMATH Keywords: discrete eigenvalues
zbMATH Keywords: inverse scattering
zbMATH Keywords: nonlinear Schrödinger equation
MaRDI profile type: Publication
full work available at URL: j.physleta.2018.06.045
OpenAlex ID: W2810695677
cites work: The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
cites work: Inverse scattering transform for the nonlocal nonlinear Schrödinger equation with nonzero boundary conditions
cites work: Q3925229
cites work: Maximal amplitudes of finite-gap solutions for the focusing nonlinear Schrödinger equation
cites work: The Integrable Nature of Modulational Instability
cites work: Inverse scattering transform for the focusing nonlinear Schrödinger equation with nonzero boundary conditions
cites work: Inverse Scattering Transform for the Defocusing Manakov System with Nonzero Boundary Conditions
cites work: Polarization interactions in multi-component defocusing media
cites work: The three-component defocusing nonlinear Schrödinger equation with nonzero boundary conditions
cites work: Universal Nature of the Nonlinear Stage of Modulational Instability
cites work: On the Spectrum of the Dirac Operator and the Existence of Discrete Eigenvalues for the Defocusing Nonlinear Schrödinger Equation
cites work: The Inverse Scattering Transform for the Defocusing Nonlinear Schrödinger Equations with Nonzero Boundary Conditions
cites work: Q3769641
cites work: Method for Solving the Korteweg-deVries Equation
cites work: Semiclassical Soliton Ensembles for the Focusing Nonlinear Schrodinger Equation (AM-154)
cites work: On the Eigenvalues of Zakharov--Shabat Systems
cites work: The focusing Manakov system with nonzero boundary conditions
cites work: Pseudo-Hermiticity versus PT symmetry: The necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian
cites work: Pseudo-Hermiticity versus PT-symmetry. II. A complete characterization of non-Hermitian Hamiltonians with a real spectrum
cites work: Pseudo-Hermiticity versus PT-symmetry III: Equivalence of pseudo-Hermiticity and the presence of antilinear symmetries
cites work: Q3732103
cites work: Bounded ultra-elliptic solutions of the defocusing nonlinear Schrödinger equation
Wikidata QID: Q129601883
DOI: 10.1016/J.PHYSLETA.2018.06.045
description: scientific article; zbMATH DE number 6993877