Birkhoff normal form for the derivative nonlinear Schrödinger equation
From MaRDI portal
Publication:2075439
DOI10.1007/s10114-022-0472-4zbMath1490.37092arXiv2009.11236OpenAlexW4225728022MaRDI QIDQ2075439
Publication date: 14 February 2022
Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2009.11236
NLS equations (nonlinear Schrödinger equations) (35Q55) Stability problems for infinite-dimensional Hamiltonian and Lagrangian systems (37K45) Perturbations, KAM theory for infinite-dimensional Hamiltonian and Lagrangian systems (37K55)
Cites Work
- Unnamed Item
- Birkhoff normal form for partial differential equations with tame modulus
- Normal forms for semilinear quantum harmonic oscillators
- The nonlinear Schrödinger equation. Self-focusing and wave collapse
- Birkhoff normal form for some nonlinear PDEs
- On diffusion in high-dimensional Hamiltonian systems and PDE
- Almost global solutions of capillary-gravity water waves equations on the circle
- Invariant Cantor manifolds of quasi-periodic oscillations for a nonlinear Schrödinger equation
- Rational normal forms and stability of small solutions to nonlinear Schrödinger equations
- Long time dynamics for generalized Korteweg-de Vries and Benjamin-Ono equations
- The defocusing NLS equation and its normal form
- KAM for the derivative nonlinear Schrödinger equation with periodic boundary conditions
- A Nekhoroshev-type theorem for the nonlinear Schrödinger equation on the torus
- Invariant Cantor manifolds of quasi-periodic solutions for the derivative nonlinear Schrödinger equation
- Averaging principle for the KdV equation with a small initial value
- Modified Nonlinear Schrödinger Equation for Alfvén Waves Propagating along the Magnetic Field in Cold Plasmas
- Stability of KAM tori for nonlinear Schrödinger equation
- An exact solution for a derivative nonlinear Schrödinger equation
- Long Time Stability of Hamiltonian Partial Differential Equations
- Quasi-linear perturbations of Hamiltonian Klein-Gordon equations on spheres
- Almost global existence for Hamiltonian semilinear Klein‐Gordon equations with small Cauchy data on Zoll manifolds
