Invariant tori for two-dimensional nonlinear Schrödinger equations with large forcing terms
DOI10.1063/1.5074094zbMath1414.35207OpenAlexW2944706868MaRDI QIDQ5379507
Jiansheng Geng, Shuaishuai Xue
Publication date: 12 June 2019
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.5074094
Stability in context of PDEs (35B35) Quasi-periodic motions and invariant tori for nonlinear problems in mechanics (70K43) NLS equations (nonlinear Schrödinger equations) (35Q55) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Periodic and quasi-periodic flows and diffeomorphisms (37C55)
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Cites Work
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- Quasi-periodic solutions of two dimensional Schrödinger equations with quasi-periodic forcing
- Energy supercritical nonlinear Schrödinger equations: quasiperiodic solutions
- KAM for the Klein Gordon equation on \(\mathbb {S}^d\)
- A KAM algorithm for the resonant non-linear Schrödinger equation
- An infinite dimensional KAM theorem and its application to the two dimensional cubic Schrödinger equation
- A normal form for the Schrödinger equation with analytic non-linearities
- KAM for the nonlinear beam equation
- Hamiltonian perturbations of infinite-dimensional linear systems with an imaginary spectrum
- A KAM theorem for Hamiltonian partial differential equations in higher dimensional spaces
- Quasi-periodic solutions of completely resonant nonlinear wave equations
- Quasi-periodic solutions in a nonlinear Schrödinger equation
- Periodic and quasi-periodic solutions of nonlinear wave equations via KAM theory
- KAM for the nonlinear Schrödinger equation
- Quasi-periodic solutions of Hamiltonian perturbations of 2D linear Schrödinger equations
- Perturbations of lower dimensional tori for Hamiltonian systems
- Nearly integrable infinite-dimensional Hamiltonian systems
- Jubilee volume on the occasion of the 50th year of publication of the journal
- KAM tori for 1D nonlinear wave equations with periodic boundary conditions
- Persistence of lower-dimensional tori under the first Melnikov's non-resonance condition
- A KAM theorem for one dimensional Schrödinger equation with periodic boundary conditions
- Construction of periodic solutions of nonlinear wave equations in higher dimension
- Invariant Cantor manifolds of quasi-periodic oscillations for a nonlinear Schrödinger equation
- A KAM theorem of degenerate infinite dimensional Hamiltonian systems. I
- A KAM theorem of degenerate infinite dimensional Hamiltonian systems. II
- Quasi-periodic solutions for a nonlinear wave equation
- A KAM theorem for higher dimensional forced nonlinear Schrödinger equations
- Reducibility for a fast-driven linear Klein-Gordon Equation
- Quasi-periodic solutions for fully nonlinear forced reversible Schrödinger equations
- A KAM theorem for higher dimensional nonlinear Schrödinger equations
- Quasi-periodic solutions of nonlinear random Schrödinger equations
- KAM tori for higher dimensional beam equations with constant potentials*
- On long time stability in Hamiltonian perturbations of non-resonant linear PDEs
- Newton's method and periodic solutions of nonlinear wave equations
- Green's Function Estimates for Lattice Schrodinger Operators and Applications. (AM-158)
- On the construction of almost periodic solutions for a nonlinear Schrödinger equation
- The Cauchy problem for nonlinear Schrödinger equation (NLS) with critical nonlinearity
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