Nonlinear Sciences – Exactly Solvable and Integrable Systems
Scientific paper
2010-07-19
Nonlinear Sciences
Exactly Solvable and Integrable Systems
9
Scientific paper
We study Darboux transformations for the two boson (TB) hierarchy both in the scalar as well as in the matrix descriptions of the linear equation. While Darboux transformations have been extensively studied for integrable models based on $SL(2,R)$ within the AKNS framework, this model is based on $SL(2,R)\otimes U(1)$. The connection between the scalar and the matrix descriptions in this case implies that the generic Darboux matrix for the TB hierarchy has a different structure from that in the models based on $SL(2,R)$ studied thus far. The conventional Darboux transformation is shown to be quite restricted in this model. We construct a modified Darboux transformation which has a much richer structure and which also allows for multi-soliton solutions to be written in terms of Wronskians. Using the modified Darboux transformations, we explicitly construct one soliton/kink solutions for the model.
Das Ashok
Saleem U.
No associations
LandOfFree
Darboux transformation and multi-soliton solutions of Two-Boson 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 Darboux transformation and multi-soliton solutions of Two-Boson hierarchy, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Darboux transformation and multi-soliton solutions of Two-Boson hierarchy will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-61781