On the Drinfeld-Sokolov Hierarchies of D type

Details On the Drinfeld-Sokolov Hierarchies of D type On the Drinfeld-Sokolov Hierarchies of D type

2009-12-30

arxiv.org/abs/0912.5273v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

With 3 Figures

Scientific paper

We extend the notion of pseudo-differential operators that are used to represent the Gelfand-Dickey hierarchies, and obtain a similar representation for the full Drinfeld-Sokolov hierarchies of $D_n$ type. By using such pseudo-differential operators we introduce the tau functions of these bi-Hamiltonian hierarchies, and prove that these hierarchies are equivalent to the integrable hierarchies defined by Date-Jimbo-Kashiware-Miwa and Kac-Wakimoto from the basic representation of the Kac-Moody algebra $D_n^{(1)}$.

Affiliated with

Also associated with

No associations

Rating

On the Drinfeld-Sokolov Hierarchies of D type does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On the Drinfeld-Sokolov Hierarchies of D type, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the Drinfeld-Sokolov Hierarchies of D type will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-33711