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Regular and Chaotic Dynamics, 2006, Volume 11, Issue 4, Pages 435–453
DOI: https://doi.org/10.1070/RD2006v011n04ABEH000362 (Mi rcd685) 		 
Lax representation of WZNW-like systems

A. V. Balandina, O. N. Kashcheevab

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
DOI: https://doi.org/10.1070/RD2006v011n04ABEH000362
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.
Received: 25.01.2006
Accepted: 02.06.2006
Bibliographic databases:
Document Type: Article
MSC: 35Q58, 37K10, 37K25
Language: English
Citation: A. V. Balandin, O. N. Kashcheeva, “Lax representation of WZNW-like systems”, Regul. Chaotic Dyn., 11:4 (2006), 435–453
Citation in format AMSBIB
\Bibitem{BalKas06}
\by A. V. Balandin, O. N. Kashcheeva
\paper Lax representation of WZNW-like systems
\jour Regul. Chaotic Dyn.
\yr 2006
\vol 11
\issue 4
\pages 435--453
\mathnet{http://mi.mathnet.ru/rcd685}
\crossref{https://doi.org/10.1070/RD2006v011n04ABEH000362}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2292203}
\zmath{https://zbmath.org/?q=an:1164.37345}
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