The non linear Schrödinger equation on a torus

zbMATH Open1296.35177MaRDI QIDQ2871008

C. Procesi

Publication date: 21 January 2014

Published in: Journal of the Ramanujan Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Cayley graphquasi-periodic solutionscubic Schrödinger equationnon-degeneracydegenerate resonant graphsintegrable nornal forms

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10)

Related Items (7)

The nonlinear Schrödinger equation on tori: Integrating harmonic analysis, geometry, and probability ⋮ On the nonlinear Schrödinger equation with a toroidal-shaped trap in the strong confinement regime ⋮ Hamiltonian of the one-dimensional torsion Schrödinger equation in a complex-valued basis of Mathieu functions ⋮ A Nekhoroshev-type theorem for the nonlinear Schrödinger equation on the torus ⋮ Energy transfer model for the derivative nonlinear Schrödinger equations on the torus ⋮ High-frequency propagation for the Schrödinger equation on the torus ⋮ On quasi-exact solvability of the Schrödinger equation for a free particle on the surface of a spindle torus

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