A. V. Balandin, O. N. Kashcheeva, “Lax representation of chiral-type systems”, Nelin. Dinam., 2007, Volume 3, Number 2,Pages <nobr>175

This article is cited in 3 papers

Lax representation of chiral-type systems

A. V. Balandin^a, O. N. Kashcheeva^b

^a N. I. Lobachevski State University of Nizhni Novgorod
^b Volga State Academy of Water Transport

Abstract: The conditions which are necessary for chiral-type systems to admit the Lax representation with compact Lie algebras are obtained in this paper. We also establish new integrable systems which are similar to WZNW (Wess–Zumino–Novikov–Witten) systems and non-abelian affine Toda models. One of such a system is a new integrable extension of the well known sin-Gordon equation.

Keywords: Lax representation, WZNW systems, symmetric spaces, Lie algebras, nonlinear sigma-models.

UDC: 517.9:514.7

MSC: 35Q58, 37K10, 37K25