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Toda lattice hierarchy and trigonometric Ruijsenaars–Schneider hierarchy - MaRDI portal

Toda lattice hierarchy and trigonometric Ruijsenaars–Schneider hierarchy (Q5873003)

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scientific article; zbMATH DE number 7638627

Language	Label	Description	Also known as
English	Toda lattice hierarchy and trigonometric Ruijsenaars–Schneider hierarchy	scientific article; zbMATH DE number 7638627

Statements

scholarly article

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Toda lattice hierarchy and trigonometric Ruijsenaars–Schneider hierarchy (English)

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Journal of Physics A: Mathematical and Theoretical

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publication date

5 January 2023

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full work available at URL

https://arxiv.org/abs/1907.06621

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zbMATH Keywords

Toda lattice hierarchy

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Ruijsenaars-Schneider system

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dynamics of poles

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MaRDI profile type

MaRDI publication profile

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Rational and elliptic solutions of the korteweg-de vries equation and a related many-body problem

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Erratum: Solution of the one-dimensional <i>N</i>-body problems with quadratic and/or inversely quadratic pair potentials [J. Math. Phys. <b>12</b>, 419–436 (1971)]

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Three integrable Hamiltonian systems connected with isospectral deformations

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Rational solutions of the Kadomtsev-Petviashvili equation and integrable systems of \(n\) particles on a line

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Elliptic solutions of the Kadomtsev-Petviashvili equation and integrable systems of particles

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Calogero–Moser hierarchy and KP hierarchy

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KP trigonometric solitons and an adelic flag manifold

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Time discretization of the spin Calogero-Moser model and the semi-discrete matrix KP hierarchy

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Spin generalization of the Ruijsenaars-Schneider model, the non-Abelian 2D Toda chain, and representations of the Sklyanin algebra

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A new class of integrable systems and its relation to solitons

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Rational Ruijsenaars-Schneider hierarchy and bispectral difference operators

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The master \(T\)-operator for inhomogeneous \(XXX\) spin chain and mKP hierarchy

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Matrix modified Kadomtsev-Petviashvili hierarchy

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Solitons and infinite dimensional Lie algebras

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INTEGRABLE HIERARCHIES AND DISPERSIONLESS LIMIT

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Complete integrability of relativistic Calogero-Moser systems and elliptic function identities

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The analogue of the Backlund transformation for integrable many-body systems

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Integrable hydrodynamics of Calogero–Sutherland model: bidirectional Benjamin–Ono equation

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The problem of integrable discretization: Hamiltonian approach

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Self-dual form of Ruijsenaars-Schneider models and ILW equation with discrete Laplacian

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Elliptic solutions to integrable nonlinear equations and many-body systems

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Integrable time-discretization of the Ruijsenaars-Schneider model

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Solitons and almost-intertwining matrices

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Identifiers

10.1088/1751-8121/ab520c

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:5873003

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