Asymptotic stability of solitary waves for the 1D cubic-quintic Schrödinger equation with no internal mode

DOI10.2140/pmp.2022.3.839OpenAlexW4321524257MaRDI QIDQ2690089

Yvan Martel

Publication date: 15 March 2023

Published in: Probability and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.01492

zbMATH Keywords

stabilitysolitary waveasymptotic stabilitySchrödinger equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Soliton solutions (35C08) Time-dependent Schrödinger equations and Dirac equations (35Q41) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (5)

Deterministic dynamics and randomness in PDE. Abstracts from the workshop held May 22--28, 2022 ⋮ Nonlinear waves and dispersive equations. Abstracts from the workshop held June 26 -- July 2, 2022 ⋮ Small energy stabilization for 1D nonlinear Klein Gordon equations ⋮ Asymptotic stability of solitary waves for the 1D near-cubic non-linear Schrödinger equation in the absence of internal modes ⋮ Soliton dynamics for the 1D quadratic Klein-Gordon equation with symmetry

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