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
Citation:
Balandin A. V., Kashcheeva O. N., Lax Representation of Chiral-Type Systems, Rus. J. Nonlin. Dyn.,
2007, Vol. 3, No. 2,
pp. 175-202
DOI:10.20537/nd0702004