Quasi-periodic solutions of nonlinear Schrödinger equations of higher dimension.
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Publication:1416462
DOI10.1016/S0022-0396(03)00095-0zbMath1084.35097OpenAlexW1971598489MaRDI QIDQ1416462
Publication date: 14 December 2003
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0022-0396(03)00095-0
Almost and pseudo-almost periodic solutions to PDEs (35B15) NLS equations (nonlinear Schrödinger equations) (35Q55)
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Cites Work
- Unnamed Item
- Periodic and quasi-periodic solutions of nonlinear wave equations via KAM theory
- Elements of a qualitative theory of Hamiltonian PDEs
- Quasi-periodic solutions of Hamiltonian perturbations of 2D linear Schrödinger equations
- Nearly integrable infinite-dimensional Hamiltonian systems
- On Melnikov's persistency problem
- Dynamics of breathers in discrete nonlinear Schrödinger models
- Families of periodic orbits for some PDE's in higher dimensions.
- Invariant Cantor manifolds of quasi-periodic oscillations for a nonlinear Schrödinger equation
- Quasi-periodic solutions for a nonlinear wave equation
- Newton's method and periodic solutions of nonlinear wave equations
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