EULER-POINCARE FORMALISM OF COUPLED KDV TYPE SYSTEMS AND DIFFEOMORPHISM GROUP ON S1

TitleEULER-POINCARE FORMALISM OF COUPLED KDV TYPE SYSTEMS AND DIFFEOMORPHISM GROUP ON S1
Publication TypeJournal Article
Year of Publication2005
AuthorsGuha, P
Secondary TitleCommunications in Applied Analysis
Volume9
Issue1
Start Page131
Pagination145
Date Published01/2005
Type of Workscientific: mathematics
ISSN1083–2564
AMS53A07, 53B50
Abstract

In this paper we show that almost all the coupled KdV equations follow from the geodesic flows of L2 metric on the semidirect product space where Diffs (S1) is the group of orientation preserving Sobolev Hs diffeomorphisms of the circle. We also study the geodesic flow of a H1 metric.

 

URLhttp://www.acadsol.eu/en/articles/9/1/9.pdf
Short TitleEuler-Poincar ́e Formalism
Refereed DesignationRefereed
Full Text

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