The Drinfeld-Sokolov reduction method has been used to associate extensions of the matrix r-KdV system with the Lie algebra gln. We present reductions of these systems to the fixed point sets of involutive Poisson maps, implementing the reduction of gln to classical Lie algebras of type B, C, D. Modifications corresponding, in the first place to factorization of the Lax operator, and then to Wakimoto realizations of the current algebra components of the factorization, are also described.
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics
- Physics and Astronomy(all)