Affiliation:
1. Department of Mathematics, Massachusetts Institute of Technology 1 , Cambridge, Massachusetts 02139, USA
2. Mathematical Institute, Utrecht University 2 , P.O. Box 80010, 3508 TA Utrecht, The Netherlands
Abstract
This, to a large extent, expository paper describes the theory of multicomponent hierarchies of evolution equations of XKP type, where X = A, B, C, or D, and AKP = KP and their reductions, associated with the conjugacy classes of the Weyl groups of classical Lie algebras of type X. As usual, the main tool is the multicomponent boson–fermion correspondence, which leads to the corresponding tau-functions, wave functions, dressing operators, and Lax operators.
Subject
Mathematical Physics,Statistical and Nonlinear Physics
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