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.
机构:
Imperial Coll London, Math Dept, London SW7 2AZ, EnglandImperial Coll London, Math Dept, London SW7 2AZ, England
Holm, Darryl D.
Tyranowski, Tomasz M.
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机构:
Imperial Coll London, Math Dept, London SW7 2AZ, England
Max Planck Inst Plasma Phys, Boltzmannstr 2, D-85748 Garching, GermanyImperial Coll London, Math Dept, London SW7 2AZ, England
Tyranowski, Tomasz M.
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES,
2018,
474
(2213):