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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