On $τ$-function of conjugate nets

Details On $τ$-function of conjugate nets On $τ$-function of conjugate nets

2004-10-15

arxiv.org/abs/nlin/0410022v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

8 pages

Scientific paper

We study a potential introduced by Darboux to describe conjugate nets, which within the modern theory of integrable systems can be interpreted as a $\tau$-function. We investigate the potential using the non-local $\bar\partial$ dressing method of Manakov and Zakharov, and we show that it can be interpreted as the Fredholm determinant of an integral equation which naturally appears within that approach. Finally, we give some arguments extending that interpretation to multicomponent Kadomtsev-Petviashvili hierarchy.

Affiliated with

Also associated with

No associations

Rating

On $τ$-function of conjugate nets 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 $τ$-function of conjugate nets, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On $τ$-function of conjugate nets will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-290041