Instability of solitary wave solutions for the nonlinear Schrödinger equation of derivative type in degenerate case
type: Item
instance of: scholarly article
title: Instability of solitary wave solutions for the nonlinear Schrödinger equation of derivative type in degenerate case
zbMATH Open document ID: 1436.35068
author: Cui Ning
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2020-04-07T00:00:00Z
Mathematics Subject Classification ID: 35C08
Mathematics Subject Classification ID: 35B35
Mathematics Subject Classification ID: 35Q55
zbMATH DE Number: 7187780
zbMATH Keywords: derivative NLS
zbMATH Keywords: orbital instability
zbMATH Keywords: degenerate case
zbMATH Keywords: two-parameter family of solitary wave solutions
MaRDI profile type: Publication
full work available at URL: j.na.2019.111665
OpenAlex ID: W2982255464
cites work: Infinitely many solutions for a class of sublinear Schrödinger equations with indefinite potentials
cites work: Bound state solutions of sublinear Schrödinger equations with lack of compactness
cites work: Nonlinear scalar field equations. I: Existence of a ground state
cites work: Ill-posedness for the derivative Schrödinger and generalized Benjamin-Ono equations
cites work: Global solutions of the derivative Schrödinger equation in a class of functions analytic in a strip
cites work: Remarks on the Gibbs measures for nonlinear dispersive equations
cites work: The Hamiltonian formalism of the DNLS equation with a nonvanished boundary value
cites work: Local Structure of Singular Profiles for a Derivative Nonlinear Schrödinger Equation
cites work: Stability of solitary waves for derivative nonlinear Schrödinger equation
cites work: Global well-posedness for Schrödinger equations with derivative
cites work: A Refined Global Well-Posedness Result for Schrödinger Equations with Derivative
cites work: Purely nonlinear instability of standing waves with minimal energy
cites work: Instability of solitary waves for a generalized derivative nonlinear Schrödinger equation in a borderline case
cites work: A sufficient condition for global existence of solutions to a generalized derivative nonlinear Schrödinger equation
cites work: Invariant measures for the periodic derivative nonlinear Schrödinger equation
cites work: Gibbs measures associated to the integrals of motion of the periodic derivative nonlinear Schrödinger equation
cites work: Stability theory of solitary waves in the presence of symmetry. I
cites work: Stability theory of solitary waves in the presence of symmetry. II
cites work: Q5717221
cites work: Low Regularity Local Well-Posedness of the Derivative Nonlinear Schrödinger Equation with Periodic Initial Data
cites work: Orbital stability of solitary waves for generalized derivative nonlinear Schrödinger equations in the endpoint case
cites work: Modified Scattering Operator for the Derivative Nonlinear Schrödinger Equation
cites work: Instability of the solitary wave solutions for the generalized derivative nonlinear Schrödinger equation in the critical frequency case
cites work: Local well-posedness for the derivative nonlinear Schrödinger equation with \(L^2\)-subcritical data
cites work: On smooth solutions to the initial value problem for the mixed nonlinear Schrödinger equations
cites work: Orbital stability of solitary waves for the nonlinear derivative Schrödinger equation
cites work: Global well-posedness for the derivative nonlinear Schrödinger equation in \(H^{\frac {1}{2}} (\mathbb{R})\)
cites work: Well-posedness for one-dimensional derivative nonlinear Schrödinger equations
cites work: On the derivative nonlinear Schrödinger equation
cites work: Finite Energy Solutions of Nonlinear Schrödinger Equations of Derivative Type
cites work: Well-posedness for a generalized derivative nonlinear Schrödinger equation
cites work: On the Cauchy problem for the derivative nonlinear Schrodinger equation with periodic boundary condition
cites work: An exact solution for a derivative nonlinear Schrödinger equation
cites work: Stable manifolds for all monic supercritical focusing nonlinear Schrödinger equations in one dimension
cites work: Non-generic blow-up solutions for the critical focusing NLS in 1-D
cites work: Orbital stability of solitary waves for derivative nonlinear Schrödinger equation
cites work: On a class of solutions to the generalized derivative Schrödinger equations
cites work: Global existence for the derivative nonlinear Schrödinger equation by the method of inverse scattering
cites work: Long-time behavior of solutions to the derivative nonlinear Schrödinger equation for soliton-free initial data
cites work: Focusing singularity in a derivative nonlinear Schrödinger equation
cites work: Stability of solitary waves for a generalized derivative nonlinear Schrödinger equation
cites work: Stability of bound states of Hamiltonian PDEs in the degenerate cases
cites work: Instability of solitons for the critical generalized Korteweg-de Vries equation
cites work: Codimension one threshold manifold for the critical gKdV equation
cites work: A system of ODEs for a perturbation of a minimal mass soliton
cites work: Instability of the solitary waves for the generalized derivative nonlinear Schrödinger equation in the degenerate case
cites work: Global well-posedness for Schrödinger equation with derivative in \(H^{\frac {1}{2}} (\mathbb R)\)
cites work: Modified nonlinear Schrödinger equation for Alfvén waves propagating along the magnetic field in cold plasmas
cites work: Ground state solutions of scalar field fractional Schrödinger equations
cites work: Global well-posedness of the derivative nonlinear Schrödinger equation with periodic boundary condition in \(H^{\frac{1}{2}}\)
cites work: A remark on global well-posedness of the derivative nonlinear Schrödinger equation on the circle
cites work: Invariant weighted Wiener measures and almost sure global well-posedness for the periodic derivative NLS
cites work: Instability of solitary wave solutions for derivative nonlinear Schrödinger equation in endpoint case
cites work: Instability of bound states for abstract nonlinear Schrödinger equations
cites work: Instability of solitary waves for nonlinear Schr\"odinger equations of derivative type
cites work: On the nonlinear Schrodinger equations of derivative type
cites work: The derivative NLS equation: global existence with solitons
cites work: Existence of Global Solutions to the Derivative NLS Equation with the Inverse Scattering Transform Method
cites work: Asymptotic stability of N-solitons in the cubic NLS equation
cites work: Existence and uniqueness of solution for a generalized nonlinear derivative Schrödinger equation
cites work: Well-posedness for the one-dimensional nonlinear Schrödinger equation with the derivative nonlinearity
cites work: A priori estimates and weak solutions for the derivative nonlinear Schrödinger equation on torus below \(H^{1/2}\)

Instability of solitary wave solutions for the nonlinear Schrödinger equation of derivative type in degenerate case (cites work)
cites work: Gibbs measure for the periodic derivative nonlinear Schrödinger equation

Instability of solitary wave solutions for the nonlinear Schrödinger equation of derivative type in degenerate case (cites work)
cites work: Q3935585

Instability of solitary wave solutions for the nonlinear Schrödinger equation of derivative type in degenerate case (cites work)
cites work: Q3952480

Instability of solitary wave solutions for the nonlinear Schrödinger equation of derivative type in degenerate case (cites work)
cites work: Infinitely many solutions for cubic nonlinear Schrödinger equations in dimension four

Instability of solitary wave solutions for the nonlinear Schrödinger equation of derivative type in degenerate case (cites work)
cites work: Modulational Stability of Ground States of Nonlinear Schrödinger Equations

Instability of solitary wave solutions for the nonlinear Schrödinger equation of derivative type in degenerate case (cites work)
cites work: Instability of the standing waves for the nonlinear Klein-Gordon equations in one dimension

Instability of solitary wave solutions for the nonlinear Schrödinger equation of derivative type in degenerate case (cites work)
cites work: Global well-posedness for the nonlinear Schrödinger equation with derivative in energy space

Instability of solitary wave solutions for the nonlinear Schrödinger equation of derivative type in degenerate case (cites work)
cites work: Global well-posedness on the derivative nonlinear Schrödinger equation

Instability of solitary wave solutions for the nonlinear Schrödinger equation of derivative type in degenerate case (cites work)
cites work: Long-time asymptotic for the derivative nonlinear Schrödinger equation with step-like initial value

Instability of solitary wave solutions for the nonlinear Schrödinger equation of derivative type in degenerate case (cites work)
cites work: Existence of a bound state solution for quasilinear Schrödinger equations

Instability of solitary wave solutions for the nonlinear Schrödinger equation of derivative type in degenerate case (DOI)
DOI: 10.1016/J.NA.2019.111665