With a Cole-Hopf transformation to solutions of the noncommutative KP hierarchy in terms of Wronski matrices

Details With a Cole-Hopf transformation to solutions of the noncommutative KP hierarchy in terms of Wronski matrices With a Cole-Hopf transformation to solutions of the noncommutative KP hierarchy in terms of Wronski matrices

2007-01-26

arxiv.org/abs/nlin/0701052v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

10 pages

Scientific paper

10.1088/1751-8113/40/17/F02

In case of the KP hierarchy where the dependent variable takes values in an (arbitrary) associative algebra A, it is known that there are solutions which can be expressed in terms of quasideterminants of a Wronski matrix which solves the linear heat hierarchy. We obtain these solutions without the help of quasideterminants in a simple way via solutions of matrix KP hierarchies (over A) and by use of a Cole-Hopf transformation. For this class of exact solutions we work out a correspondence with 'weakly nonassociative' algebras.

Affiliated with

Also associated with

No associations

Rating

With a Cole-Hopf transformation to solutions of the noncommutative KP hierarchy in terms of Wronski matrices 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 With a Cole-Hopf transformation to solutions of the noncommutative KP hierarchy in terms of Wronski matrices, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and With a Cole-Hopf transformation to solutions of the noncommutative KP hierarchy in terms of Wronski matrices will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-568515