Reductions of integrable equations on A.III-type symmetric spaces
Gerdjikov, VS, Mikhailov, AV and Valchev, TI
(2010)
Reductions of integrable equations on A.III-type symmetric spaces.
Journal of Physics A: Mathematical and Theoretical, 43 (43).
ISSN 1751-8113
Abstract
We study a class of integrable nonlinear differential equations related to the A. III-type symmetric spaces. These spaces are realized as factor groups of the form SU (N)/S(U (N-k) × U (k)). We use the Cartan involution corresponding to this symmetric space as an element of the reduction group and restrict generic Lax operators to this symmetric space. The symmetries of the Lax operator are inherited by the fundamental analytic solutions and give a characterization of the corresponding Riemann-Hilbert data.
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Authors/Creators:
Gerdjikov, VS
Mikhailov, AV
Valchev, TI
Copyright, Publisher and Additional Information:
(c) 2010, Institute of Physics. This is an author produced version of a paper published in the Journal of Physics A: Mathematical and Theoretical Uploaded in accordance with the publisher's self-archiving policy.
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