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.

arXiv comment9 pages, no figures. arXiv admin note: text overlap with arXiv:2107.01697

References in corpus (6)

• Spin generalization of the Ruijsenaars-Schneider model, non-abelian 2D Toda chain and representations of Sklyanin algebra
• Kadomtsev-Petviashvili turning points and CKP hierarchy
• Elliptic solutions to integrable nonlinear equations and many-body systems
• Field analogue of the Ruijsenaars-Schneider model
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Cited by in corpus (1)

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