KAM tori for reversible partial differential equations

In this paper, we establish a KAM theorem for an infinite dimensional reversible system with unbounded perturbation, by which we obtain quasi-periodic solutions of a class of nonlinear Schodinger equations with a derivative in nonlinear terms, subject to Dirichlet boundary conditions.

Saved in:
Bibliographic Details
Published inNonlinearity Vol. 24; no. 4; pp. 1189 - 1228
Main Authors Zhang, Jing, Gao, Meina, Yuan, Xiaoping
Format Journal Article
LanguageEnglish
Published Bristol IOP Publishing 01.04.2011
Institute of Physics
Subjects
Boundary conditions
Derivatives
Dirichlet problem
Exact sciences and technology
Global analysis, analysis on manifolds
Mathematical analysis
Mathematical methods in physics
Mathematics
Nonlinearity
Numerical analysis
Numerical analysis. Scientific computation
Other topics in mathematical methods in physics
Partial differential equations
Partial differential equations, boundary value problems
Partial differential equations, initial value problems and time-dependant initial-boundary value problems
Physics
Sciences and techniques of general use
Theorems
Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds
Toruses
Non linear equation
Nonlinear analysis
Derivative
Perturbation
Infinite system
Boundary condition
KAM theorem
Partial differential equation
Mathematical physics
Online AccessGet full text

Cover

More Information
Summary:In this paper, we establish a KAM theorem for an infinite dimensional reversible system with unbounded perturbation, by which we obtain quasi-periodic solutions of a class of nonlinear Schodinger equations with a derivative in nonlinear terms, subject to Dirichlet boundary conditions.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:0951-7715
1361-6544
DOI:10.1088/0951-7715/24/4/010