Symmetries of the nonlinear Schrödinger equation

DOI10.24033/BSMF.2432zbMath1044.35088OpenAlexW2488321346MaRDI QIDQ4422764

Benoît Grébert, Thomas Kappeler

Publication date: 21 August 2003

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.24033/bsmf.2432

zbMATH Keywords

symmetriesNLS equationaction-angle variablesZakharov-Shabat operators

Mathematics Subject Classification ID

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) Inverse problems involving ordinary differential equations (34A55) Symmetries of infinite-dimensional dissipative dynamical systems (37L20)

Related Items (6)

Long time stability of small finite gap solutions of the cubic nonlinear Schrödinger equation on \(\mathbb{T}^2\) ⋮ Generic non-selfadjoint Zakharov-Shabat operators ⋮ Birkhoff coordinates for the focusing NLS equation ⋮ A KAM theorem for the defocusing NLS equation ⋮ On the Well-Posedness of the Defocusing mKdV Equation Below $L^{2}$ ⋮ Symmetries of the periodic Toda lattice, with an application to normal forms and perturbations of the lattice with Dirichlet boundary conditions

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