Title  EULERPOINCARE 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 L^{2} metric on the semidirect product space where Diff^{s} (S^{1}) is the group of orientation preserving Sobolev H^{s} diffeomorphisms of the circle. We also study the geodesic flow of a H^{1} metric.

URL  http://www.acadsol.eu/en/articles/9/1/9.pdf 
Short Title  EulerPoincar ́e Formalism 
Refereed Designation  Refereed 
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