A. Zabrodin

Часть публикаций из профиля, по году от новых к старым. Это не полный список последних работ автора; работы без года — в конце.

• Multi-component Toda lattice hierarchy2025 · аннотациясвернуть

  We give a detailed account of the N-component Toda lattice hierarchy, which can be regarded as a generalization of the well-known Toda chain model and its non-abelian version. This hierarchy is an extension of the one…

• Multi-component Toda lattice hierarchy2025 · аннотациясвернуть

  We give a detailed account of the N-component Toda lattice hierarchy, which can be regarded as a generalization of the well-known Toda chain model and its non-abelian version. This hierarchy is an extension of the one…

• Quasi-Periodic Solutions of the Universal Hierarchy2024
• Elliptic Cauchy Matrices2024
• Dispersionless version of the multicomponent KP hierarchy revisited2024
• Integrable Structure of Interface Dynamics2000 · аннотациясвернуть

  We establish the equivalence of 2D contour dynamics to the dispersionless limit of the integrable Toda hierarchy constrained by a string equation. Remarkably, the same hierarchy underlies 2D quantum gravity.

• Quantum Integrable Models and Discrete Classical Hirota Equations1997
• Spin generalization of the Ruijsenaars-Schneider model, the non-Abelian 2D Toda chain, and representations of the Sklyanin algebra1995 · аннотациясвернуть

  Action-angle type variables for spin generalizations of the elliptic RuijsenaarsSchneider system are constructed. The equations of motion of these systems are solved in terms of Riemann theta-functions. It is proved…