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KdV Equation as an Euler-Poincare Equation
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M. K. Fung
Department of Physics, National Taiwan Normal University, Taipei, Taiwan 117, R.O.C. (Received October 9, 1997) |
| Poincare had generalised the Euler equation to any Lie algebra. We apply the same method to the infinite dimensional Virasoro algebra to obtain 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. |
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