On selection of standing wave at small energy in the 1D cubic Schrödinger equation with a trapping potential (Q2099796)

scientific article

Language	Label	Description	Also known as
English	On selection of standing wave at small energy in the 1D cubic Schrödinger equation with a trapping potential	scientific article

Statements

instance of

scholarly article

0 references

title

On selection of standing wave at small energy in the 1D cubic Schrödinger equation with a trapping potential (English)

0 references

0 references

0 references

Communications in Mathematical Physics

0 references

publication date

18 November 2022

0 references

full work available at URL

https://arxiv.org/abs/2109.08108

0 references

zbMATH Keywords

cubic Schrödinger equation

0 references

discrete modes

0 references

MaRDI profile type

MaRDI publication profile

0 references

cites work

Linear and orbital stability analysis for solitary-wave solutions of variable-coefficient scalar-field equations

0 references

On dispersion of small energy solutions of the nonlinear Klein Gordon equation with a potential

0 references

Q4853576

0 references

Q4217277

0 references

Spectra of Linearized Operators for NLS Solitary Waves

0 references

The 1-dimensional nonlinear Schrödinger equation with a weighted $L^1$ potential

0 references

On selection of standing wave at small energy in the 1D cubic Schrödinger equation with a trapping potential

0 references

Coordinates at small energy and refined profiles for the nonlinear Schrödinger equation

0 references

On small energy stabilization in the NLS with a trapping potential

0 references

On Stability of Small Solitons of the 1-D NLS with a Trapping Delta Potential

0 references

On small energy stabilization in the NLKG with a trapping potential

0 references

On Asymptotic Stability of Standing Waves of Discrete Schrödinger Equation in $\mathbb{Z}$

0 references

Decay and Scattering of Small Solutions of Pure Power NLS in ℝ with <i>p</i> > 3 and with a Potential

0 references

Inverse scattering on the line

0 references

A steepest descent method for oscillatory Riemann-Hilbert problems. Asymptotics for the MKdV equation

0 references

Perturbation theory for infinite-dimensional integrable systems on the line. A case study

0 references

Long-Time Dispersive Estimates for Perturbations of a Kink Solution of One-Dimensional Cubic Wave Equations

0 references

Q4264393

0 references

Relaxation of solitons in nonlinear Schrödinger equations with potential

0 references

Asymptotic stability of the black soliton for the Gross–Pitaevskii equation

0 references

Quadratic Klein-Gordon equations with a potential in one dimension

0 references

The nonlinear Schrödinger equation with a potential

0 references

Q4663127

0 references

Kink dynamics in the $\phi ^4$ model: Asymptotic stability for odd perturbations in the energy space

0 references

Nonexistence of small, odd breathers for a class of nonlinear wave equations

0 references

Soliton dynamics for the 1D NLKG equation with symmetry and in the absence of internal modes

0 references

A sufficient condition for asymptotic stability of kinks in general (1+1)-scalar field models

0 references

Asymptotic stability of solitons to 1D nonlinear Schrödinger equations in subcritical case

0 references

On Modified Scattering for 1D Quadratic Klein–Gordon Equations With Non-Generic Potentials

0 references

Decay and Asymptotics for the One-Dimensional Klein--Gordon Equation with Variable Coefficient Cubic Nonlinearities

0 references

A remark on asymptotic completeness for the critical nonlinear Klein-Gordon equation

0 references

A REMARK ON LONG RANGE SCATTERING FOR THE NONLINEAR KLEIN–GORDON EQUATION

0 references

Scattering and small data completeness for the critical nonlinear Schrödinger equation

0 references

Scattering for the Klein-Gordon equation with quadratic and variable coefficient cubic nonlinearities

0 references

Decay of small odd solutions for long range Schrödinger and Hartree equations in one dimension

0 references

On the decay problem for the Zakharov and Klein-Gordon-Zakharov systems in one dimension

0 references

Modified Scattering for the One-Dimensional Cubic NLS with a Repulsive Delta Potential

0 references

The blow-up dynamic and upper bound on the blow-up rate for critical nonlinear Schrödinger equation

0 references

Sharp upper bound on the blow-up rate for the critical nonlinear Schrödinger equation

0 references

On universality of blow up profile for $L^2$ critical nonlinear Schrödinger equation

0 references

On a sharp lower bound on the blow-up rate for the 𝐿² critical nonlinear Schrödinger equation

0 references

Asymptotic stability of small solitary waves to 1D nonlinear Schrödinger equations with potential

0 references

Small solutions of nonlinear Schrödinger equations near first excited states

0 references

Sharp asymptotic behavior of solutions for cubic nonlinear Schrödinger equations with a potential

0 references

Q5430053

0 references

Asymptotic stability for odd perturbations of the stationary kink in the variable-speed 𝜙⁴ model

0 references

Resonances, radiation damping and instability in Hamiltonian nonlinear wave equations

0 references

SELECTION OF THE GROUND STATE FOR NONLINEAR SCHRÖDINGER EQUATIONS

0 references

Q4693724

0 references

Dispersive decay for the 1D Klein-Gordon equation with variable coefficient nonlinearities

0 references

Asymptotic dynamics of nonlinear Schrödinger equations: Resonance-dominated and dispersion-dominated solutions

0 references

Q3147641

0 references

Classification of asymptotic profiles for nonlinear Schrödinger equations with small initial data

0 references

STABLE DIRECTIONS FOR EXCITED STATES OF NONLINEAR SCHRÖDINGER EQUATIONS

0 references

Q3900552

0 references

$L^p$-$L^{\acute p}$ estimates for the Schrödinger equation on the line and inverse scattering for the nonlinear Schrödinger equation with a potential

0 references

Identifiers

zbMATH Open document ID

1503.35208

0 references

DOI

10.1007/s00220-022-04487-7

0 references

Mathematics Subject Classification ID

0 references

0 references

0 references

0 references

0 references

0 references

0 references

0 references

Sitelinks

Mathematics(1 entry)

mardi Publication:2099796