Elliptic families of solutions to constrained Toda hierarchy

Abstract

We study elliptic families of solutions to the recently introduced constrained Toda hierarchy, i.e., solutions which are elliptic functions of some linear combination of the hierarchical times. Equations of motion for poles of such solutions are obtained.

9 pages, no figures. arXiv admin note: text overlap with arXiv:2107.01697

References in corpus (2)

• Field analogue of the Ruijsenaars-Schneider model
• Constrained Toda hierarchy and turning points of the Ruijsenaars-Schneider model

Cited by in corpus (1)

• Elliptic solutions of the Toda lattice with constraint of type B and deformed Ruijsenaars-Schneider system