Invariant manifold of hyperbolic-elliptic type for nonlinear wave equation

It is shown that there are plenty of hyperbolic-elliptic invariant tori, thus quasiperiodic solutions for a class of nonlinear wave equations.

Bibliographic Details
Main Author: Xiaoping Yuan
Format: Article
Language:English
Published: Hindawi Limited 2003-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S0161171203207092
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spelling doaj-3f8b810b0b8c42849dfe6fb42aa2c7a92020-11-24T22:34:59ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252003-01-012003181111113610.1155/S0161171203207092Invariant manifold of hyperbolic-elliptic type for nonlinear wave equationXiaoping Yuan0Department of Mathematics, Fudan University, Shanghai 200433, ChinaIt is shown that there are plenty of hyperbolic-elliptic invariant tori, thus quasiperiodic solutions for a class of nonlinear wave equations.http://dx.doi.org/10.1155/S0161171203207092
collection DOAJ
language English
format Article
sources DOAJ
author Xiaoping Yuan
spellingShingle Xiaoping Yuan
Invariant manifold of hyperbolic-elliptic type for nonlinear wave equation
International Journal of Mathematics and Mathematical Sciences
author_facet Xiaoping Yuan
author_sort Xiaoping Yuan
title Invariant manifold of hyperbolic-elliptic type for nonlinear wave equation
title_short Invariant manifold of hyperbolic-elliptic type for nonlinear wave equation
title_full Invariant manifold of hyperbolic-elliptic type for nonlinear wave equation
title_fullStr Invariant manifold of hyperbolic-elliptic type for nonlinear wave equation
title_full_unstemmed Invariant manifold of hyperbolic-elliptic type for nonlinear wave equation
title_sort invariant manifold of hyperbolic-elliptic type for nonlinear wave equation
publisher Hindawi Limited
series International Journal of Mathematics and Mathematical Sciences
issn 0161-1712
1687-0425
publishDate 2003-01-01
description It is shown that there are plenty of hyperbolic-elliptic invariant tori, thus quasiperiodic solutions for a class of nonlinear wave equations.
url http://dx.doi.org/10.1155/S0161171203207092
work_keys_str_mv AT xiaopingyuan invariantmanifoldofhyperbolicelliptictypefornonlinearwaveequation
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