Orbital Stability of Domain Walls in Coupled Gross--Pitaevskii Systems
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Publication:4602800
DOI10.1137/17M1114892zbMath1387.35430arXiv1702.00701OpenAlexW2962707364MaRDI QIDQ4602800
Dmitry E. Pelinovsky, Andres Contreras, Michael Plum
Publication date: 2 February 2018
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1702.00701
Estimates of eigenvalues in context of PDEs (35P15) NLS equations (nonlinear Schrödinger equations) (35Q55) Stability problems for infinite-dimensional Hamiltonian and Lagrangian systems (37K45)
Related Items (2)
Domain walls in the coupled Gross-Pitaevskii equations with the harmonic potential ⋮ Dynamics of the black soliton in a regularized nonlinear Schrödinger equation
Cites Work
- On the asymptotic stability of \(N\)-soliton solutions of the defocusing nonlinear Schrödinger equation
- Orbital stability of traveling waves for the one-dimensional Gross-Pitaevskii equation
- A domain wall between single-mode and bimodal states and its transition to dynamical behavior in inhomogeneous systems
- On phase-separation models: asymptotics and qualitative properties
- Extended modulation instability and new type of solitary wave in coupled nonlinear Schrödinger equations
- Orbital stability in the cubic defocusing NLS equation. II: The black soliton
- Domain walls in the coupled Gross-Pitaevskii equations
- Asymptotic stability of the black soliton for the Gross–Pitaevskii equation
- Orbital stability of the black soliton for the Gross-Pitaevskii equation
- Phase Segregation for Binary Mixtures of Bose--Einstein Condensates
- Interface layer of a two-component Bose–Einstein condensate
- Korteweg-de Vries and nonlinear Schrödinger equations: qualitative theory
- A domain-wall between single-mode and bimodal states.
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