Moyal Deformation of KdV and Virasoro Action(General)
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概要
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The Lie algebra of pseudodifferential symbols ΨD(S^1) on S^1 has a natural Lie-Poisson structure. The Moyal deformation of dispersionless Korteweg-de Vries (KdV) equation is constructed from the action of Vect(S^1) on ΨD(S^1). We also study the Moyal deformation of supersymmetric two-boson KdV equation. We offer their Lax representations. Using Souriau-Kravchenko-Khesin cocycle we are able to construct KdV equation.
- 社団法人日本物理学会の論文
- 2004-10-15