Triangular reductions of 2D Toda hierarchy
Igor Krichever, Anna Ilyina
TL;DR
This paper introduces new reductions of the 2D Toda hierarchy linked to low-triangular difference operators, providing explicit Hamiltonian descriptions for these reductions.
Contribution
It presents novel reductions of the 2D Toda hierarchy and derives their explicit Hamiltonian formulations, advancing understanding of integrable systems.
Findings
New reductions of the 2D Toda hierarchy are proposed.
Explicit Hamiltonian descriptions are derived for these reductions.
The work enhances the theoretical framework of integrable systems.
Abstract
New reductions of the 2D Toda equations associated with low-triangular difference operators are proposed. Their explicit Hamiltonian description is obtained.
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Taxonomy
TopicsNonlinear Waves and Solitons · Algebraic structures and combinatorial models · Advanced Topics in Algebra