On selection of standing wave at small energy in the 1D cubic Schrödinger equation with a trapping potential
From MaRDI portal
Publication:2099796
DOI10.1007/s00220-022-04487-7zbMath1503.35208arXiv2109.08108OpenAlexW3200969857MaRDI QIDQ2099796
Publication date: 18 November 2022
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2109.08108
Asymptotic behavior of solutions to PDEs (35B40) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Soliton solutions (35C08) Second-order semilinear hyperbolic equations (35L71)
Related Items (10)
Small energy stabilization for 1D nonlinear Klein Gordon equations ⋮ Asymptotic stability of soliton for discrete nonlinear Schrödinger equation on one-dimensional lattice ⋮ Asymptotic stability of solitary waves for the 1D near-cubic non-linear Schrödinger equation in the absence of internal modes ⋮ Asymptotic stability of solitary waves for the 1D cubic-quintic Schrödinger equation with no internal mode ⋮ Center stable manifold for ground states of nonlinear Schrödinger equations with internal modes ⋮ The matrix nonlinear Schrödinger equation with a potential ⋮ Asymptotic stability of kink with internal modes under odd perturbation ⋮ On selection of standing wave at small energy in the 1D cubic Schrödinger equation with a trapping potential ⋮ Soliton dynamics for the 1D quadratic Klein-Gordon equation with symmetry ⋮ Wave and scattering operators for the nonlinear matrix Schrödinger equation on the half-line with a potential
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On small energy stabilization in the NLKG with a trapping potential
- Small solutions of nonlinear Schrödinger equations near first excited states
- On small energy stabilization in the NLS with a trapping potential
- Perturbation theory for infinite-dimensional integrable systems on the line. A case study
- Asymptotic stability of small solitary waves to 1D nonlinear Schrödinger equations with potential
- Resonances, radiation damping and instability in Hamiltonian nonlinear wave equations
- Classification of asymptotic profiles for nonlinear Schrödinger equations with small initial data
- Sharp upper bound on the blow-up rate for the critical nonlinear Schrödinger equation
- The nonlinear Schrödinger equation with a potential
- On universality of blow up profile for \(L^2\) critical nonlinear Schrödinger equation
- \(L^p\)-\(L^{\acute p}\) estimates for the Schrödinger equation on the line and inverse scattering for the nonlinear Schrödinger equation with a potential
- Asymptotic stability of solitons to 1D nonlinear Schrödinger equations in subcritical case
- A sufficient condition for asymptotic stability of kinks in general (1+1)-scalar field models
- On the decay problem for the Zakharov and Klein-Gordon-Zakharov systems in one dimension
- On selection of standing wave at small energy in the 1D cubic Schrödinger equation with a trapping potential
- Coordinates at small energy and refined profiles for the nonlinear Schrödinger equation
- Soliton dynamics for the 1D NLKG equation with symmetry and in the absence of internal modes
- A steepest descent method for oscillatory Riemann-Hilbert problems. Asymptotics for the MKdV equation
- The blow-up dynamic and upper bound on the blow-up rate for critical nonlinear Schrödinger equation
- Nonexistence of small, odd breathers for a class of nonlinear wave equations
- A remark on asymptotic completeness for the critical nonlinear Klein-Gordon equation
- Relaxation of solitons in nonlinear Schrödinger equations with potential
- The 1-dimensional nonlinear Schrödinger equation with a weighted \(L^1\) potential
- Dispersive decay for the 1D Klein-Gordon equation with variable coefficient nonlinearities
- Sharp asymptotic behavior of solutions for cubic nonlinear Schrödinger equations with a potential
- Asymptotic stability of the black soliton for the Gross–Pitaevskii equation
- Kink dynamics in the $\phi ^4$ model: Asymptotic stability for odd perturbations in the energy space
- On dispersion of small energy solutions of the nonlinear Klein Gordon equation with a potential
- Scattering for the Klein-Gordon equation with quadratic and variable coefficient cubic nonlinearities
- Spectra of Linearized Operators for NLS Solitary Waves
- On Asymptotic Stability of Standing Waves of Discrete Schrödinger Equation in $\mathbb{Z}$
- Inverse scattering on the line
- Asymptotic stability for odd perturbations of the stationary kink in the variable-speed 𝜙⁴ model
- A REMARK ON LONG RANGE SCATTERING FOR THE NONLINEAR KLEIN–GORDON EQUATION
- Asymptotic dynamics of nonlinear Schrödinger equations: Resonance-dominated and dispersion-dominated solutions
- STABLE DIRECTIONS FOR EXCITED STATES OF NONLINEAR SCHRÖDINGER EQUATIONS
- Modified Scattering for the One-Dimensional Cubic NLS with a Repulsive Delta Potential
- Linear and orbital stability analysis for solitary-wave solutions of variable-coefficient scalar-field equations
- Quadratic Klein-Gordon equations with a potential in one dimension
- Decay and Asymptotics for the One-Dimensional Klein--Gordon Equation with Variable Coefficient Cubic Nonlinearities
- Decay of small odd solutions for long range Schrödinger and Hartree equations in one dimension
- On Stability of Small Solitons of the 1-D NLS with a Trapping Delta Potential
- Decay and Scattering of Small Solutions of Pure Power NLS in ℝ with p > 3 and with a Potential
- Scattering and small data completeness for the critical nonlinear Schrödinger equation
- On a sharp lower bound on the blow-up rate for the 𝐿² critical nonlinear Schrödinger equation
- SELECTION OF THE GROUND STATE FOR NONLINEAR SCHRÖDINGER EQUATIONS
- Long-Time Dispersive Estimates for Perturbations of a Kink Solution of One-Dimensional Cubic Wave Equations
- On Modified Scattering for 1D Quadratic Klein–Gordon Equations With Non-Generic Potentials
This page was built for publication: On selection of standing wave at small energy in the 1D cubic Schrödinger equation with a trapping potential
