Invariant tori of full dimension for a nonlinear Schrödinger equation

DOI10.1016/j.jde.2011.09.006zbMath1231.35227OpenAlexW2053473252MaRDI QIDQ649743

Jiansheng Geng

Publication date: 6 December 2011

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2011.09.006

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Almost and pseudo-almost periodic solutions to PDEs (35B15) NLS equations (nonlinear Schrödinger equations) (35Q55)

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Almost-periodic solutions for a quasi-periodically forced nonlinear Schrödinger equation ⋮ Almost periodic solutions of one dimensional Schrödinger equation with the external parameters ⋮ Almost-periodic solutions of an almost-periodically forced wave equation ⋮ Quasi-periodically forced and reversible vibrations of beam equations with Liouvillean frequencies ⋮ Invariant tori of full dimension for second KdV equations with the external parameters ⋮ The existence of almost-periodic solutions for 1-dimensional nonlinear Schrödinger equation with quasi-periodic forcing ⋮ Lower dimensional invariant tori with prescribed frequency for the nonlinear Schrödinger equation ⋮ Invariant tori of a nonlinear Schrödinger equation with quasi-periodically unbounded perturbations ⋮ ON THE EXISTENCE OF FULL DIMENSIONAL KAM TORUS FOR FRACTIONAL NONLINEAR SCHRÖDINGER EQUATION ⋮ Full dimension tori of Schrödinger equation ⋮ The existence of full-dimensional invariant tori for an almost-periodically forced nonlinear beam equation ⋮ PERIODIC AND QUASI-PERIODIC SOLUTIONS FOR THE COMPLEX SWIFT-HOHENBERG EQUATION

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