Integrability of Invariant Metrics on the Diffeomorphism Group of the Circle
نویسندگان
چکیده
Each H Sobolev inner product (k ≥ 0) defines a Hamiltonian vector field Xk on the regular dual of the Lie algebra of the diffeomorphism group of the circle. We show that only X0 and X1 are bi-Hamiltonian relatively to a modified Lie-Poisson structure.
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ورودعنوان ژورنال:
- J. Nonlinear Science
دوره 16 شماره
صفحات -
تاریخ انتشار 2006