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TMF, 2011 Volume 167, Number 3, Pages 394–406 (Mi tmf6649)

This article is cited in 9 papers

Rational bundles and recursion operators for integrable equations on A.III-type symmetric spaces

V. S. Gerdjikova, G. G. Grahovskiab, A. V. Mikhailovc, T. I. Valcheva

a Institute of Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences, Sofia, Bulgaria
b School of Mathematical Sciences, Dublin Institute of Technology, Dublin, Ireland
c Applied Mathematics Department, University of Leeds, Leeds, UK

Abstract: We analyze and compare methods for constructing the recursion operators for a special class of integrable nonlinear differential equations related to symmetric spaces of the type A.III in Cartan's classification and having additional reductions.

Keywords: rational bundle, integrable equation, recursion operator.

Received: 23.06.2011

DOI: 10.4213/tmf6649


 English version:
Theoretical and Mathematical Physics, 2011, 167:3, 740–750

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