6 v 1 2 6 O ct 1 99 9 Action Correlations in Integrable Systems

ar X iv : s ol v - in t / 9 60 70 03 v 1 1 6 Ju l 1 99 6 Coupled Integrable Systems Associated with a Polynomial Spectral Problem and their Virasoro Symmetry

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.

ar X iv : m at h / 99 07 16 9 v 1 [ m at h . Q A ] 2 6 Ju l 1 99 9 Integrable deformations of Hamiltonian systems and q - symmetries 1

The complete integrability of the hyperbolic Gaudin Hamiltonian and other related integrable systems is shown to be easily derived by taking into account their sl(2, R) coalgebra symmetry. By using the properties induced by such a coalgebra structure, it can be proven that the introduction of any quantum deformation of the sl(2, R) algebra will provide an integrable deformation for such systems...

ar X iv : c ha o - dy n / 99 10 00 5 v 1 6 O ct 1 99 9 The Finite - Difference Analysis and Time Flow

ar X iv : h ep - p h / 97 10 24 9 v 1 6 O ct 1 99 7 HADRONIC PHYSICS FROM THE LATTICE

ar X iv : s ol v - in t / 9 60 30 04 v 1 1 2 M ar 1 99 6 Lax representation for two – particle dynamics splitting on two tori

Lax representation in terms of 2 × 2 matrices is constructed for separable multiply–periodic systems splitting on two tori. Hyperelliptic Kleinian functions and their reduction to elliptic functions are used. Introduction. Completely integrable systems with two degree of freedoms and with dynamics splitting on two tori have been largely investigated during the past years as examples of separabl...