$w$-function of the KdV hierarchy

Details $w$-function of the KdV hierarchy $w$-function of the KdV hierarchy

2004-06-23

arxiv.org/abs/math/0406457v1

Geometry, Topology, and Mathematical Physics, Series: American Mathematical Society Translations--Series 2, Volume: 212, 2004

Mathematics

Dynamical Systems

Scientific paper

In this paper we construct a family of commuting multidimensional differential operators of order 3, which is closely related to the KdV hierarchy. We find a common eigenfunction of this family and an algebraic relation between these operators. Using these operators we associate a hyperelliptic curve to any solution of the stationary KdV equation. A basic generating function of the solutions of stationary KdV equation is introduced as a special polarization of the equation of the hyperelliptic curve. We also define and discuss the notion of a $w$-function of a solution of the stationary $g$-KdV equation.

Affiliated with

Also associated with

No associations

Rating

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

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-247867