The $n$-component KP hierarchy and representation theory

Details The $n$-component KP hierarchy and representation theory The $n$-component KP hierarchy and representation theory

1993-08-27

arxiv.org/abs/hep-th/9308137v2

J.Math.Phys. 44 (2003) 3245-3293

Physics

High Energy Physics

High Energy Physics - Theory

Scientific paper

10.1063/1.1590055

Starting from free charged fermions we give equivalent definitions of the $n\/$-component KP hierarchy, in terms of $\tau\/$-functions $\tau_\alpha\/$ (where $\alpha \in M =\/$ root lattice of $sl_n\/$), in terms of $n \times n\/$ matrix valued wave functions $W_\alpha(\alpha\in M)\/$, and in terms of pseudodifferential wave operators $P_\alpha(\alpha\in M)\/$. These imply the deformation and the zero curvature equations. We show that the 2-component KP hierarchy contains the Davey-Stewartson system and the $n\geq3\/$ component KP hierarchy continues the $n\/$-wave interaction equations. This allows us to construct theis solutions.

Affiliated with

Also associated with

No associations

Rating

The $n$-component KP hierarchy and representation theory 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 The $n$-component KP hierarchy and representation theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The $n$-component KP hierarchy and representation theory will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-430944