Quasi-periodic solutions for fractional nonlinear Schrödinger equation
type: Item
instance of: scholarly article
title: Quasi-periodic solutions for fractional nonlinear Schrödinger equation
zbMATH Open document ID: 1456.37080
author: Xindong Xu
published in: Journal of Dynamics and Differential Equations
publication date: 2018-11-06T00:00:00Z
Mathematics Subject Classification ID: 37K55
Mathematics Subject Classification ID: 35Q55
Mathematics Subject Classification ID: 35B15
Mathematics Subject Classification ID: 35R11
zbMATH DE Number: 6973977
zbMATH Keywords: KAM tori
zbMATH Keywords: dense normal frequency
zbMATH Keywords: fractional Schrödinger equation
zbMATH Keywords: quasi-periodic solutions
MaRDI profile type: Publication
full work available at URL: s10884-017-9630-2
OpenAlex ID: W2768491893
Wikidata QID: Q115383473
cites work: On long time stability in Hamiltonian perturbations of non-resonant linear PDEs
cites work: KAM theory for the Hamiltonian derivative wave equation
cites work: Quasi-periodic solutions of Hamiltonian perturbations of 2D linear Schrödinger equations
cites work: Q4241791
cites work: KAM tori for 1D nonlinear wave equations with periodic boundary conditions
cites work: Mapping properties of normal forms transformations for water waves
cites work: Newton's method and periodic solutions of nonlinear wave equations
cites work: An integrable normal form for water waves in infinite depth
cites work: KAM for the nonlinear beam equation
cites work: KAM for the nonlinear Schrödinger equation
cites work: Positive solutions of the nonlinear Schrödinger equation with the fractional Laplacian
cites work: KAM for the quantum harmonic oscillator
cites work: An infinite dimensional KAM theorem and its application to the two dimensional cubic Schrödinger equation
cites work: A KAM theorem for one dimensional Schrödinger equation with periodic boundary conditions
cites work: A KAM theorem for Hamiltonian partial differential equations in higher dimensional spaces
cites work: Nonlinear fractional Schrödinger equations in one dimension
cites work: A KAM theorem for the defocusing NLS equation
cites work: Nearly integrable infinite-dimensional Hamiltonian systems
cites work: Anomalous Transport: A Mathematical Framework
cites work: Invariant Cantor manifolds of quasi-periodic oscillations for a nonlinear Schrödinger equation
cites work: A KAM theorem for Hamiltonian partial differential equations with unbounded perturbations
cites work: Quasi-periodic solutions for a nonlinear wave equation
cites work: Q5687501
cites work: Quasi-Töplitz functions in KAM theorem
cites work: Periodic and quasi-periodic solutions of nonlinear wave equations via KAM theory
cites work: A KAM theorem for some partial differential equations in one dimension
DOI: 10.1007/S10884-017-9630-2
description: scientific article; zbMATH DE number 6973977