Spectral analysis of Darboux transformations for the focusing NLS hierarchy

DOI10.1007/BF02789306zbMath1097.34063arXivnlin/0210072OpenAlexW2032382096MaRDI QIDQ2565903

Radu C. Cascaval, Helge Holden, Yuri Latushkin, Friedrich Gesztesy

Publication date: 28 September 2005

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0210072

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (6)

Eigenvalues of one-dimensional non-self-adjoint Dirac operators and applications ⋮ Eigenvalue asymptotics for Zakharov-Shabat systems with long-range potentials ⋮ \(\mathcal J\)-self-adjointness of a class of Dirac-type operators ⋮ Eigenvalue estimates for non-selfadjoint Dirac operators on the real line ⋮ Stability of spectral characteristics of boundary value problems for \(2 \times 2\) Dirac type systems: applications to the damped string ⋮ Weyl solutions and \(j\)-selfadjointness for Dirac operators

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