MULTICOMPONENT FRACTIONAL VOLTERRA HIERARCHY AND ITS SUBHIERARCHY WITH VIRASORO SYMMETRY

摘要

Using the Hamiltonian structures and tau symmetries, we construct a multicomponent fractional Volterra hierarchy (MFVH) as an example of a generalized integrable system. We study the Hirota bilinear equation and the Virasoro symmetry for this hierarchy. As a reduction of the MFVH from a commutative subalgebra, we construct the fractional Z(N)-Volterra hierarchy and its Virasoro symmetry.