A generalization of the Kac-Moody algebras with a parameter on an algebraic curve and perturbations of solitons (Q1173712)

The author defines the Kac-Moody algebra with parameter on an algebraic curve and investigates a number of problems connected with it: 1) the deformed Lax representation and Hamiltonian structure of appropriate dynamical systems, 2) the inverse scattering transform, 3) nonlinear equations associated with \(\text{sl}(2,{\mathcal A})\) where \({\mathcal A}\) is the space of meromorphic functions on an algebraic curve.