Quasi-periodic solutions of fractional nonlinear Schrödinger equation systems
From MaRDI portal
Publication:5072932
DOI10.1080/00036811.2020.1800648zbMath1497.37091OpenAlexW3046608236MaRDI QIDQ5072932
Publication date: 5 May 2022
Published in: Applicable Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00036811.2020.1800648
quasi-periodic solutionHamiltonian systemTöplitz-Lipschitz propertyfractional Schrödinger equation system
Fractional derivatives and integrals (26A33) NLS equations (nonlinear Schrödinger equations) (35Q55) Perturbations, KAM theory for infinite-dimensional Hamiltonian and Lagrangian systems (37K55) Fractional partial differential equations (35R11)
Cites Work
- Unnamed Item
- Unnamed Item
- Quasi-periodic solutions of generalized Boussinesq equation with quasi-periodic forcing
- An infinite dimensional KAM theorem and its application to the two dimensional cubic Schrödinger equation
- KAM for the quantum harmonic oscillator
- A KAM theorem for Hamiltonian partial differential equations in higher dimensional spaces
- 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
- Nearly integrable infinite-dimensional Hamiltonian systems
- KAM tori for 1D nonlinear wave equations with periodic boundary conditions
- 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
- Quasi-periodic solutions for a nonlinear wave equation
- On quasi-periodic solutions for a generalized Boussinesq equation
- KAM tori for higher dimensional beam equations with constant potentials*
- Newton's method and periodic solutions of nonlinear wave equations
- Green's Function Estimates for Lattice Schrodinger Operators and Applications. (AM-158)
- Beating effects in cubic Schrödinger systems and growth of Sobolev norms
- Quasi-Periodic Solutions for 1D Schrödinger Equations with Higher Order Nonlinearity
- The Cauchy problem for nonlinear Schrödinger equation (NLS) with critical nonlinearity