Orbital stability in the cubic defocusing NLS equation. II: The black soliton

DOI10.1016/j.jde.2015.01.019zbMath1311.35282arXiv1412.6804OpenAlexW2099974452MaRDI QIDQ2017892

Dmitry E. Pelinovsky, Thierry Gallay

Publication date: 23 March 2015

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.6804

zbMATH Keywords

integrabilityorbital stabilityblack solitoncubic defocusing NLS equation

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) NLS equations (nonlinear Schrödinger equations) (35Q55) Time series analysis of dynamical systems (37M10) Soliton solutions (35C08)

Related Items (4)

Counting unstable eigenvalues in Hamiltonian spectral problems via commuting operators ⋮ Dynamics of the black soliton in a regularized nonlinear Schrödinger equation ⋮ Orbital Stability of Domain Walls in Coupled Gross--Pitaevskii Systems ⋮ Nondegeneracy and stability of antiperiodic bound states for fractional nonlinear Schrödinger equations

Cites Work

• Orbital stability of traveling waves for the one-dimensional Gross-Pitaevskii equation
• Orbital stability of standing waves for some nonlinear Schrödinger equations
• Stability theory of solitary waves in the presence of symmetry. I
• Orbital stability in the cubic defocusing NLS equation. I: Cnoidal periodic waves
• Asymptotic stability of solitons of the gKdV equations with general nonlinearity
• Asymptotic stability of the black soliton for the Gross–Pitaevskii equation
• Nonlinear Waves in Integrable and Nonintegrable Systems
• Orbital stability of the black soliton for the Gross-Pitaevskii equation
• Lyapunov stability of ground states of nonlinear dispersive evolution equations
• Korteweg-de Vries and nonlinear Schrödinger equations: qualitative theory
• Unnamed Item

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