Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics]
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Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics], 2007, Volume 3, Number 2, Pages 175–202 (Mi nd133)  
This article is cited in 3 scientific papers (total in 3 papers)

Lax representation of chiral-type systems

A. V. Balandina, O. N. Kashcheevab

a N. I. Lobachevski State University of Nizhni Novgorod
b Volga State Academy of Water Transport
Full-text PDF (322 kB) Citations (3)
Abstract: 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.
Document Type: Article
UDC: 517.9:514.7
MSC: 35Q58, 37K10, 37K25
Language: Russian
Citation: A. V. Balandin, O. N. Kashcheeva, “Lax representation of chiral-type systems”, Nelin. Dinam., 3:2 (2007), 175–202
Citation in format AMSBIB
\Bibitem{BalKas07}
\by A.~V.~Balandin, O.~N.~Kashcheeva
\paper Lax representation of chiral-type systems
\jour Nelin. Dinam.
\yr 2007
\vol 3
\issue 2
\pages 175--202
\mathnet{http://mi.mathnet.ru/nd133}
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  • https://www.mathnet.ru/eng/nd/v3/i2/p175
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Нелинейная динамика
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