Geodesic
Lax representation of chiral-type systems
Russian journal of nonlinear dynamics, Tome 3 (2007) no. 2, pp. 175-202.

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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, nonlinear sigma-models.
Mots-clés : Lie algebras 
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     author = {A. V. Balandin and O. N. Kashcheeva},
     title = {Lax representation of chiral-type systems},
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     year = {2007},
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A. V. Balandin; O. N. Kashcheeva. Lax representation of chiral-type systems. Russian journal of nonlinear dynamics, Tome 3 (2007) no. 2, pp. 175-202. http://geodesic.mathdoc.fr/item/ND_2007_3_2_a3/