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

Abstract

New infinite number of one- and two-point Bäcklund 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 Bäcklund 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.

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

References in corpus (2)

• Backlund transformations for many-body systems related to KdV
• Backlund transformations for the sl(2) Gaudin magnet

Cited by in corpus (1)

• Canonical explicit Bäcklund transformations with spectrality for constrained flows of soliton hierarchies