Multi-existence of multi-solitons for the supercritical nonlinear Schrödinger equation in one dimension
From MaRDI portal
Publication:379856
DOI10.3934/dcds.2014.34.1961zbMath1284.35394arXiv1008.4613OpenAlexW2953353722MaRDI QIDQ379856
Publication date: 11 November 2013
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1008.4613
Asymptotic behavior of solutions to PDEs (35B40) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)
Related Items
Threshold odd solutions to the nonlinear Schrödinger equation in one dimension ⋮ Multi-travelling waves for the nonlinear Klein-Gordon equation ⋮ Existence of multi-solitary waves with logarithmic relative distances for the NLS equation ⋮ Construction of a solitary wave solution of the nonlinear focusing Schrödinger equation outside a strictly convex obstacle in the \(L^2\)-supercritical case ⋮ Existence of multi-travelling waves in capillary fluids ⋮ On asymptotic stability of nonlinear waves ⋮ On existence and uniqueness of asymptotic \(N\)-soliton-like solutions of the nonlinear Klein-Gordon equation ⋮ On smoothness and uniqueness of multi-solitons of the non-linear Schrödinger equations ⋮ On uniqueness of multi-bubble blow-up solutions and multi-solitons to \(L^2\)-critical nonlinear Schrödinger equations
Cites Work
- Unnamed Item
- Construction of multi-soliton solutions for the \(L^2\)-supercritical gKdV and NLS equations
- Stability of the blow-up profile for equations of the type \(u_ t=\Delta u+| u| ^{p-1}u\)
- Dynamic of threshold solutions for energy-critical NLS
- Multi solitary waves for nonlinear Schrödinger equations
- Construction of solutions with exactly k blow-up points for the Schrödinger equation with critical nonlinearity
- Threshold solutions for the focusing 3D cubic Schrödinger equation
- Stability theory of solitary waves in the presence of symmetry. I
- On a class of nonlinear Schrödinger equations. I. The Cauchy problem, general case
- Stability in \(H^1\) of the sum of \(K\) solitary waves for some nonlinear Schrödinger equations
- Multi-Soliton Solutions for the Supercritical gKdV Equations
- Asymptotic Stability of Multi-soliton Solutions for Nonlinear Schrödinger Equations
- Analysis of the linearization around a critical point of an infinite dimensional hamiltonian system
- The cauchy problem for the critical nonlinear Schrödinger equation in Hs
- Modulational Stability of Ground States of Nonlinear Schrödinger Equations
- Asymptotic N -soliton-like solutions of the subcritical and critical generalized Korteweg-de Vries equations
