Existence and stability of discrete solitons in nonlinear Schrödinger lattices with hard potentials
type: Item
instance of: scholarly article
title: Existence and stability of discrete solitons in nonlinear Schrödinger lattices with hard potentials
zbMATH Open document ID: 1490.35466
author: Qing Zhu
author: Zhan Zhou
author: Lin Wang
published in: Physica D
publication date: 2022-03-15T00:00:00Z
Mathematics Subject Classification ID: 35Q55
Mathematics Subject Classification ID: 35Q51
Mathematics Subject Classification ID: 39A12
Mathematics Subject Classification ID: 37K40
Mathematics Subject Classification ID: 37K60
zbMATH DE Number: 7490558
zbMATH Keywords: discrete solitons
zbMATH Keywords: anti-continuum limit
zbMATH Keywords: regular perturbation theory
zbMATH Keywords: spectrum stability
zbMATH Keywords: bifurcations
MaRDI profile type: Publication
full work available at URL: j.physd.2019.132326
OpenAlex ID: W2997300945
cites work: On the existence of homoclinic solutions of a class of discrete nonlinear periodic systems
cites work: Multiplicity results of breathers for the discrete nonlinear Schrödinger equations with unbounded potentials
cites work: Exact discretization of Schrödinger equation
cites work: Peierls-Nabarro potential profile of discrete nonlinear Schrödinger equation
cites work: Hypercomplex Fock states for discrete electromagnetic Schrödinger operators: a Bayesian probability perspective
cites work: The \(m\)-functions of discrete Schrödinger operators are sparse compared to those for Jacobi operators
cites work: Homoclinic solutions of discrete \(\phi\)-Laplacian equations with mixed nonlinearities
cites work: Infinitely many positive solutions for a discrete two point nonlinear boundary value problem with \(\phi_c\)-Laplacian
cites work: Studies of polaron motion. I: The molecular-crystal model; II: The 'small' polaron
cites work: Counting eigenvalues via the Krein signature in infinite-dimensional Hamiltonian systems
cites work: Stability of discrete solitons in nonlinear Schrödinger lattices
cites work: Stability of discrete dark solitons in nonlinear Schrödinger lattices
cites work: Breathers in nonlinear lattices: existence, linear stability and quantization
cites work: Discrete solitons in nonlinear Schrödinger lattices with a power-law nonlinearity
cites work: Travelling solitary waves in the discrete Schrödinger equation with saturable nonlinearity: Existence, stability and dynamics
cites work: Standing wave instabilities in a chain of nonlinear coupled oscillators
cites work: On the existence of gap solitons in a periodic discrete nonlinear Schrödinger equation with saturable nonlinearity
cites work: Homoclinic solutions in periodic difference equations with saturable nonlinearity
cites work: On classification of intrinsic localized modes for the discrete nonlinear Schrödinger equation
cites work: Eigenvalues for infinite matrices
cites work: Proof of existence of breathers for time-reversible or Hamiltonian networks of weakly coupled oscillators
cites work: Equivalence of uniform hyperbolicity for symplectic twist maps and phonon gap for Frenkel-Kontorova models
cites work: Spectral and dynamical stability of nonlinear waves
cites work: Introduction to spectral theory. With applications to Schrödinger operators
cites work: Q4674795
cites work: Q5564108
cites work: Distributions and Operators
cites work: Q5624248
cites work: Stability theory of solitary waves in the presence of symmetry. II
Wikidata QID: Q126430564
DOI: 10.1016/J.PHYSD.2019.132326
description: scientific article; zbMATH DE number 7490558