KDV EQUATION AS AN EULER-POINCARE EQUATION

Authors
Citation
Mk. Fung, KDV EQUATION AS AN EULER-POINCARE EQUATION, Zhongguo wuli xuekan, 35(6), 1997, pp. 789-796
Citations number
14
Journal title
ISSN journal
05779073
Volume
35
Issue
6
Year of publication
1997
Part
2
Pages
789 - 796
Database
ISI
SICI code
0577-9073(1997)35:6<789:KEAAEE>2.0.ZU;2-S
Abstract
Poincare had generalised the Euler equation to any Lie algebra. We app ly the same method to the infinite dimensional Virasoro algebra to obt ain the KdV equation. We have discussed in a quite self-contained way the symmetries of the KdV equation and the Virasoro algebra and their interconnection.