☆ 4.5 Article

KAM tori for reversible partial differential equations

NONLINEARITY (2011)

Journal

NONLINEARITY

Volume 24, Issue 4, Pages 1189-1228

Publisher

IOP PUBLISHING LTD

DOI: 10.1088/0951-7715/24/4/010

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Categories

Mathematics, Applied Physics, Mathematical

Funding

NNSFC
Research Foundation for Doctor Programme

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Abstract

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.

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