KDV and NLS Equations as Tri-Hamiltonian Systems

Details KDV and NLS Equations as Tri-Hamiltonian Systems KDV and NLS Equations as Tri-Hamiltonian Systems

1994-10-21

arxiv.org/abs/hep-th/9410165v1

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, plain TeX, preprint UR-1391, ER-40685-840

Scientific paper

We show that the KdV and the NLS equations are tri-Hamiltonian systems. We obtain the third Hamiltonian structure for these systems and prove Jacobi identity through the method of prolongation. The compatibility of the Hamiltonian structures is verified directly through prolongation as well as through the shifting of the variables. We comment on the properties of the recursion operator as well as the connection with the two boson hierarchy.

Affiliated with

Also associated with

No associations

Rating

KDV and NLS Equations as Tri-Hamiltonian Systems 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 KDV and NLS Equations as Tri-Hamiltonian Systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and KDV and NLS Equations as Tri-Hamiltonian Systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-638366