Euler-poincaré formalism of coupled KdV type systems and diffeomorphism group on S1

Partha Guha

Euler-poincaré formalism of coupled KdV type systems and diffeomorphism group on S¹

Mathematics

Research output: Contribution to journal › Article › peer-review

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 Diff^s(S¹) ⊙ C^∞ (S¹), where Diff^s(S¹) is the group of orientation preserving Sobolev H^s diffeomorphisms of the circle. We also study the geodesic flow of a H¹ metric.

Original language	British English
Pages (from-to)	131-145
Number of pages	15
Journal	Communications in Applied Analysis
Volume	9
Issue number	1
State	Published - Jan 2005

Cite this

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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 Diffs(S1) ⊙ C∞ (S1), 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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AB - 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 Diffs(S1) ⊙ C∞ (S1), 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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Euler-poincaré formalism of coupled KdV type systems and diffeomorphism group on S¹

Abstract

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