Quasi-periodic solutions with prescribed frequency in a nonlinear Schrödinger equation

DOI10.1007/S11425-010-4074-8zbMath1213.35372OpenAlexW1989402551MaRDI QIDQ625940

Xiu-Fang Ren

Publication date: 25 February 2011

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-010-4074-8

zbMATH Keywords

Birkhoff normal formSchrödinger equationquasi-periodic solutionHamiltonian system

Mathematics Subject Classification ID

Almost and pseudo-almost periodic solutions to PDEs (35B15) NLS equations (nonlinear Schrödinger equations) (35Q55) Nearly integrable Hamiltonian systems, KAM theory (70H08)

Related Items (3)

Quasi-periodic solutions for beam equations with the nonlinear terms depending on the space variable ⋮ Quasi-periodic solutions with prescribed frequency in reversible systems ⋮ Lower dimensional invariant tori with prescribed frequency for the nonlinear Schrödinger equation

Cites Work

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• Green's Function Estimates for Lattice Schrodinger Operators and Applications. (AM-158)
• Quasi-Periodic Solutions for 1D Schrödinger Equations with Higher Order Nonlinearity

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