Discrete Lagrangian Systems And
نویسندگان
چکیده
We show that the continuous limit of a wide natural class of the right-invariant discrete Lagrangian systems on the Virasoro group gives the family of integrable PDE's containing Camassa-Holm, Hunter-Saxton and Korteweg-de Vries equations. This family has been recently derived by Khesin and Misio lek as Euler equations on the Virasoro algebra for H 1 α,β-metrics. Our result demonstrates a universal nature of these equations.
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