A. V. Balandin, O. N. Kashcheeva, “Lax representation of WZNW-like systems”, Regul. Chaotic Dyn., 2006, Volume 11, Issue 4,Pages <nobr>435

Lax representation of WZNW-like systems

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

^a Department of Mathematics and Mechanics N. I. Lobatchevsky Nizhny Novgorod State University, 23 Gagarin ave., 603950 Nizhny Novgorod, Russia
^b Department of Mathematics, Volga State Academy of Water Transport, 5 Nesterova St., 603600 Nizhny Novgorod, Russia

Abstract: In this paper, we establish new integrable systems which are similar to WZNW (Wess–Zumino–Novikov–Witten) systems and non-abelian affine Toda models. One of these systems is a new integrable extension of the well known sine-Gordon equation.

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

MSC: 35Q58, 37K10, 37K25

Received: 25.01.2006
Accepted: 02.06.2006

Language: English

DOI: 10.1070/RD2006v011n04ABEH000362