Bäcklund transformations for high-order constrained flows of the AKNS hierarchy: canonicity and spectrality property

Details Bäcklund transformations for high-order constrained flows of the AKNS hierarchy: canonicity and spectrality property Bäcklund transformations for high-order constrained flows of the AKNS hierarchy: canonicity and spectrality property

2001-12-11

arxiv.org/abs/nlin/0112017v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

21 pages, Latex, to be published in J. Phys. A

Scientific paper

10.1088/0305-4470/35/4/320

New infinite number of one- and two-point B\"{a}cklund transformations (BTs) with explicit expressions are constructed for the high-order constrained flows of the AKNS hierarchy. It is shown that these BTs are canonical transformations including B\"{a}cklund parameter $\eta$ and a spectrality property holds with respect to $\eta$ and the 'conjugated' variable $\mu$ for which the point $(\eta, \mu)$ belongs to the spectral curve. Also the formulas of m-times repeated Darboux transformations for the high-order constrained flows of the AKNS hierarchy are presented.

Affiliated with

Also associated with

No associations

Rating

Bäcklund transformations for high-order constrained flows of the AKNS hierarchy: canonicity and spectrality property 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 Bäcklund transformations for high-order constrained flows of the AKNS hierarchy: canonicity and spectrality property, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Bäcklund transformations for high-order constrained flows of the AKNS hierarchy: canonicity and spectrality property will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-140226