PERTURBATION THEORY FOR QUASIPERIODIC SOLUTIONS OF INFINITE-DIMENSIONAL HAMILTONIAN SYSTEMS, AND ITS APPLICATION TO THE KORTEWEG-DE VRIES EQUATION
From MaRDI portal
Publication:3834766
DOI10.1070/SM1989v064n02ABEH003316zbMath0678.58037OpenAlexW1997738650MaRDI QIDQ3834766
Publication date: 1989
Published in: Mathematics of the USSR-Sbornik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1070/sm1989v064n02abeh003316
Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Partial differential equations of mathematical physics and other areas of application (35Q99)
Related Items (12)
Long time stability of small finite gap solutions of the cubic nonlinear Schrödinger equation on \(\mathbb{T}^2\) ⋮ On the continuation of degenerate periodic orbits via normal form: full dimensional resonant tori ⋮ On the convergence of an algorithm constructing the normal form for elliptic lower dimensional tori in planetary systems ⋮ Time behaviour of the error when simulating finite-band periodic waves. The case of the KdV equation ⋮ An infinitesimal Liouville-Arnold theorem as a criterion of reducibility for variational Hamiltonian equations ⋮ On the existence and uniqueness of global solutions for the KdV equation with quasi-periodic initial data ⋮ Moser's theorem for hyperbolic-type degenerate lower tori in Hamiltonian system ⋮ Almost-periodic response solutions for a forced quasi-linear Airy equation ⋮ On the periodic KdV equation in weighted Sobolev spaces ⋮ PERIODIC AND QUASI-PERIODIC SOLUTIONS FOR THE COMPLEX SWIFT-HOHENBERG EQUATION ⋮ On critical behaviour in systems of Hamiltonian partial differential equations ⋮ Persistence of lower-dimensional tori under the first Melnikov's non-resonance condition
This page was built for publication: PERTURBATION THEORY FOR QUASIPERIODIC SOLUTIONS OF INFINITE-DIMENSIONAL HAMILTONIAN SYSTEMS, AND ITS APPLICATION TO THE KORTEWEG-DE VRIES EQUATION
