Integrable nonlinear field equations and loop algebra structures

E. Alfinito; M. Leo; R. A. Leo; M. Palese; G. Soliani

doi:10.1016/0370-2693(95)00561-x

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Integrable nonlinear field equations and loop algebra structures

E. Alfinito·M. Leo·R. A. Leo·M. Palese·G. Soliani

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Abstract

We apply the (direct and inverse) prolongation method to a couple of nonlinear Schr{ö}dinger equations. These are taken as a laboratory field model for analyzing the existence of a connection between the integrability property and loop algebras. Exploiting a realization of the Kac-Moody type of the incomplete prolongation algebra associated with the system under consideration, we develop a procedure with allows us to generate a new class of integrable nonlinear field equations containing the original ones as a special case.

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E. Alfinito, M. Leo, R. A. Leo, M. Palese, G. Soliani. 1995-01-30. Integrable nonlinear field equations and loop algebra structures. https://doi.org/10.1016/0370-2693(95)00561-x

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