Small-divisor Equation of Higher Order with Large Variable Coefficient and Application to the Coupled KdV Equation
In this paper, we establish an estimate for the solutions of small-divisor equation of higher order with large variable coefficient. Then by formulating an infinite-dimensional KAM theorem which allows for multiple normal frequencies and unbounded perturbations, we prove that there are many periodic...
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Published in | Acta mathematica Sinica. English series Vol. 27; no. 10; pp. 2005 - 2032 |
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Main Authors | , |
Format | Journal Article |
Language | English |
Published |
Heidelberg
Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
01.10.2011
Springer Nature B.V |
Subjects | |
Online Access | Get full text |
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Summary: | In this paper, we establish an estimate for the solutions of small-divisor equation of higher order with large variable coefficient. Then by formulating an infinite-dimensional KAM theorem which allows for multiple normal frequencies and unbounded perturbations, we prove that there are many periodic solutions for the coupled KdV equation subject to small Hamiltonian perturbations. |
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Bibliography: | 11-2039/O1 In this paper, we establish an estimate for the solutions of small-divisor equation of higher order with large variable coefficient. Then by formulating an infinite-dimensional KAM theorem which allows for multiple normal frequencies and unbounded perturbations, we prove that there are many periodic solutions for the coupled KdV equation subject to small Hamiltonian perturbations. KAM theorem, small-divisor equation with large variable coefficient, coupled KdV equation ObjectType-Article-2 SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 23 |
ISSN: | 1439-8516 1439-7617 |
DOI: | 10.1007/s10114-011-0064-1 |