Functional representations of integrable hierarchies

Details Functional representations of integrable hierarchies Functional representations of integrable hierarchies

2006-03-09

arxiv.org/abs/nlin/0603018v2

Nonlinear Sciences

Exactly Solvable and Integrable Systems

21 pages, version 2: equations (3.28) and (4.11) added

Scientific paper

10.1088/0305-4470/39/29/012

We consider a general framework for integrable hierarchies in Lax form and derive certain universal equations from which `functional representations' of particular hierarchies (like KP, discrete KP, mKP, AKNS), i.e. formulations in terms of functional equations, are systematically and quite easily obtained. The formalism genuinely applies to hierarchies where the dependent variables live in a noncommutative (typically matrix) algebra. The obtained functional representations can be understood as `noncommutative' analogs of `Fay identities' for the KP hierarchy.

Affiliated with

Also associated with

No associations

Rating

Functional representations of integrable hierarchies 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 Functional representations of integrable hierarchies, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Functional representations of integrable hierarchies will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-711812