Title | EULER-POINCARE FORMALISM OF COUPLED KDV TYPE SYSTEMS AND DIFFEOMORPHISM GROUP ON S1 |
Publication Type | Journal Article |
Year of Publication | 2005 |
Authors | Guha, P |
Secondary Title | Communications in Applied Analysis |
Volume | 9 |
Issue | 1 |
Start Page | 131 |
Pagination | 145 |
Date Published | 01/2005 |
Type of Work | scientific: mathematics |
ISSN | 1083–2564 |
AMS | 53A07, 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.
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URL | http://www.acadsol.eu/en/articles/9/1/9.pdf |
Short Title | Euler-Poincar ́e Formalism |
Refereed Designation | Refereed |
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