Instability of solitary wave solutions for the nonlinear Schrödinger equation of derivative type in degenerate case
From MaRDI portal
Publication:1985790
DOI10.1016/j.na.2019.111665zbMath1436.35068OpenAlexW2982255464MaRDI QIDQ1985790
Publication date: 7 April 2020
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2019.111665
Stability in context of PDEs (35B35) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton solutions (35C08)
Related Items (3)
Instability of degenerate solitons for nonlinear Schrödinger equations with derivative ⋮ Existence and stability of standing waves for one dimensional NLS with triple power nonlinearities ⋮ Stability of algebraic solitons for nonlinear Schrödinger equations of derivative type: variational approach
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Codimension one threshold manifold for the critical gKdV equation
- Gibbs measures associated to the integrals of motion of the periodic derivative nonlinear Schrödinger equation
- Well-posedness for a generalized derivative nonlinear Schrödinger equation
- Stability of solitary waves for a generalized derivative nonlinear Schrödinger equation
- Long-time asymptotic for the derivative nonlinear Schrödinger equation with step-like initial value
- Invariant weighted Wiener measures and almost sure global well-posedness for the periodic derivative NLS
- Stability of bound states of Hamiltonian PDEs in the degenerate cases
- A remark on global well-posedness of the derivative nonlinear Schrödinger equation on the circle
- Global well-posedness on the derivative nonlinear Schrödinger equation
- Global well-posedness for the derivative nonlinear Schrödinger equation in \(H^{\frac {1}{2}} (\mathbb{R})\)
- Instability of bound states for abstract nonlinear Schrödinger equations
- A system of ODEs for a perturbation of a minimal mass soliton
- Global well-posedness for Schrödinger equation with derivative in \(H^{\frac {1}{2}} (\mathbb R)\)
- Instability of solitary wave solutions for derivative nonlinear Schrödinger equation in endpoint case
- Nonlinear scalar field equations. I: Existence of a ground state
- Stability of solitary waves for derivative nonlinear Schrödinger equation
- Global solutions of the derivative Schrödinger equation in a class of functions analytic in a strip
- A priori estimates and weak solutions for the derivative nonlinear Schrödinger equation on torus below \(H^{1/2}\)
- Ground state solutions of scalar field fractional Schrödinger equations
- Stability theory of solitary waves in the presence of symmetry. II
- Non-generic blow-up solutions for the critical focusing NLS in 1-D
- Stability theory of solitary waves in the presence of symmetry. I
- On the derivative nonlinear Schrödinger equation
- Well-posedness for the one-dimensional nonlinear Schrödinger equation with the derivative nonlinearity
- Orbital stability of solitary waves for derivative nonlinear Schrödinger equation
- Instability of solitary waves for a generalized derivative nonlinear Schrödinger equation in a borderline case
- The derivative NLS equation: global existence with solitons
- Long-time behavior of solutions to the derivative nonlinear Schrödinger equation for soliton-free initial data
- Orbital stability of solitary waves for generalized derivative nonlinear Schrödinger equations in the endpoint case
- Orbital stability of solitary waves for the nonlinear derivative Schrödinger equation
- Global well-posedness of the derivative nonlinear Schrödinger equation with periodic boundary condition in \(H^{\frac{1}{2}}\)
- Local well-posedness for the derivative nonlinear Schrödinger equation with \(L^2\)-subcritical data
- Instability of the solitary wave solutions for the generalized derivative nonlinear Schrödinger equation in the critical frequency case
- Focusing singularity in a derivative nonlinear Schrödinger equation
- On a class of solutions to the generalized derivative Schrödinger equations
- Bound state solutions of sublinear Schrödinger equations with lack of compactness
- Invariant measures for the periodic derivative nonlinear Schrödinger equation
- Existence and uniqueness of solution for a generalized nonlinear derivative Schrödinger equation
- A sufficient condition for global existence of solutions to a generalized derivative nonlinear Schrödinger equation
- Existence of a bound state solution for quasilinear Schrödinger equations
- Infinitely many solutions for cubic nonlinear Schrödinger equations in dimension four
- Well-posedness for one-dimensional derivative nonlinear Schrödinger equations
- Global well-posedness for the nonlinear Schrödinger equation with derivative in energy space
- Instability of the solitary waves for the generalized derivative nonlinear Schrödinger equation in the degenerate case
- Ill-posedness for the derivative Schrödinger and generalized Benjamin-Ono equations
- Global Well-Posedness for Schrödinger Equations with Derivative
- Modified Nonlinear Schrödinger Equation for Alfvén Waves Propagating along the Magnetic Field in Cold Plasmas
- Global existence for the derivative nonlinear Schrödinger equation by the method of inverse scattering
- Local Structure of Singular Profiles for a Derivative Nonlinear Schrödinger Equation
- Gibbs measure for the periodic derivative nonlinear Schrödinger equation
- Low Regularity Local Well-Posedness of the Derivative Nonlinear Schrödinger Equation with Periodic Initial Data
- Modulational Stability of Ground States of Nonlinear Schrödinger Equations
- On smooth solutions to the initial value problem for the mixed nonlinear Schrödinger equations
- An exact solution for a derivative nonlinear Schrödinger equation
- Finite Energy Solutions of Nonlinear Schrödinger Equations of Derivative Type
- Purely nonlinear instability of standing waves with minimal energy
- Remarks on the Gibbs measures for nonlinear dispersive equations
- Asymptotic stability of N-solitons in the cubic NLS equation
- Existence of Global Solutions to the Derivative NLS Equation with the Inverse Scattering Transform Method
- On the nonlinear Schrodinger equations of derivative type
- A Refined Global Well-Posedness Result for Schrödinger Equations with Derivative
- Modified Scattering Operator for the Derivative Nonlinear Schrödinger Equation
- On the Cauchy problem for the derivative nonlinear Schrodinger equation with periodic boundary condition
- The Hamiltonian formalism of the DNLS equation with a nonvanished boundary value
- Stable manifolds for all monic supercritical focusing nonlinear Schrödinger equations in one dimension
- Infinitely many solutions for a class of sublinear Schrödinger equations with indefinite potentials
- Instability of solitary waves for nonlinear Schr\"odinger equations of derivative type
- Instability of solitons for the critical generalized Korteweg-de Vries equation
- Instability of the standing waves for the nonlinear Klein-Gordon equations in one dimension
This page was built for publication: Instability of solitary wave solutions for the nonlinear Schrödinger equation of derivative type in degenerate case
