Stable and unstable time quasi periodic solutions for a system of coupled NLS equations

DOI10.1088/1361-6544/AAD3D9zbMath1403.35275arXiv1710.09173OpenAlexW3099918185MaRDI QIDQ5374507

Victor Vilaça da Rocha, Benoît Grébert

Publication date: 14 September 2018

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.09173

zbMATH Keywords

KAM theorymodulational instabilitiessystem of coupled NLS

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Quasi-periodic motions and invariant tori for nonlinear problems in mechanics (70K43) NLS equations (nonlinear Schrödinger equations) (35Q55) Stability problems for infinite-dimensional Hamiltonian and Lagrangian systems (37K45) Perturbations, KAM theory for infinite-dimensional Hamiltonian and Lagrangian systems (37K55) Normal forms for nonlinear problems in mechanics (70K45)

Related Items (4)

Traveling quasi-periodic water waves with constant vorticity ⋮ A KAM theorem for two dimensional completely resonant reversible Schrödinger systems ⋮ Quasi-periodic solutions for a class of beam equation system ⋮ PERIODIC AND QUASI-PERIODIC SOLUTIONS FOR THE COMPLEX SWIFT-HOHENBERG EQUATION

Cites Work

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• Invariant Cantor manifolds of quasi-periodic oscillations for a nonlinear Schrödinger equation
• KAM for beating solutions of the quintic NLS
• Beating effects in cubic Schrödinger systems and growth of Sobolev norms
• The disintegration of wave trains on deep water Part 1. Theory

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