prosp. Gagarina 23, Nizhnii Novgorod
N.I. Lobachevskii Nizhnii Novgorod State University
Balandin A. V., Kashcheeva O. N.
Lax Representation of Chiral-Type Systems
2007, Vol. 3, No. 2, pp. 175-202
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.