Coupled Integrable Systems Associated with a Polynomial Spectral Problem and their Virasoro Symmetry Algebras

Abstract

An isospectral hierarchy of commutative integrable systems associated with a polynomial spectral problem is proposed. The resulting hierarchy possesses a recursion structure controlled by a hereditary operator. The nonisospectral flows generate the time first order dependent symmetries of the isospectral hierarchy, which constitute Virasoro symmetry algebras together with commutative symmetries.

8 pages, Plain-tex, to appear in Prog. Theor. Phys

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