Seminar on Integrable Systems
主講者: | Dr. Dmitry Demskoy (Monash University, Melbourne University, Australia) |
講題: | On limiting cases of chiral-type models |
時間: | 2009-10-02 (Fri.) 10:30 - 11:30 |
地點: | |
Abstract: | We consider limiting cases (reduced models) of some chiral-type models with tree-dimensional configuration space. The C-integrability of the reduced models is established by constructing their complete sets of integrals and general solutions. A description of the generalized symmetry algebras of models in question is given in terms of the operators mapping integrals into symmetries. The integrals of C-integrable hyperbolic systems are known to define Miura-type transformations for their generalized symmetries. This fact allowed us to find a few new systems of the Yajima-Oikawa type. We present a recursion operator for one of them. |
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