Soliton Solutions of the Toda Hierarchy on Quasi-Periodic Backgrounds Revisited

Details Soliton Solutions of the Toda Hierarchy on Quasi-Periodic Backgrounds Revisited Soliton Solutions of the Toda Hierarchy on Quasi-Periodic Backgrounds Revisited

2006-09-06

arxiv.org/abs/nlin/0609016v2

Math. Nachr. 282:4, 526--539 (2009)

Nonlinear Sciences

Exactly Solvable and Integrable Systems

16 pages

Scientific paper

10.1002/mana.200610752

We investigate soliton solutions of the Toda hierarchy on a quasi-periodic finite-gap background by means of the double commutation method and the inverse scattering transform. In particular, we compute the phase shift caused by a soliton on a quasi-periodic finite-gap background. Furthermore, we consider short range perturbations via scattering theory. We give a full description of the effect of the double commutation method on the scattering data and establish the inverse scattering transform in this setting.

Affiliated with

Also associated with

No associations

Rating

Soliton Solutions of the Toda Hierarchy on Quasi-Periodic Backgrounds Revisited 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 Soliton Solutions of the Toda Hierarchy on Quasi-Periodic Backgrounds Revisited, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Soliton Solutions of the Toda Hierarchy on Quasi-Periodic Backgrounds Revisited will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-418671