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Constrained Toda hierarchy and turning points of the Ruijsenaars-Schneider model (Q2121411)

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Language	Label	Description	Also known as
English	Constrained Toda hierarchy and turning points of the Ruijsenaars-Schneider model	scientific article

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scholarly article

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Constrained Toda hierarchy and turning points of the Ruijsenaars-Schneider model (English)

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I. M. Krichever

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Anton V. Zabrodin

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Letters in Mathematical Physics

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publication date

4 April 2022

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full work available at URL

https://arxiv.org/abs/2109.05240

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zbMATH Keywords

Toda hierarchy

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integrable many-body systems

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MaRDI profile type

MaRDI publication profile

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Solitons and infinite dimensional Lie algebras

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

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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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Elliptic solutions to integrable nonlinear equations and many-body systems

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Calogero–Moser hierarchy and KP hierarchy

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KP hierarchy and trigonometric Calogero–Moser hierarchy

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Elliptic solutions to matrix KP hierarchy and spin generalization of elliptic Calogero–Moser model

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A new class of integrable systems and its relation to solitons

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

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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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Elliptic solutions of the Toda lattice hierarchy and the elliptic Ruijsenaars-Schneider model

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KP Hierarchies of Orthogonal and Symplectic Type–Transformation Groups for Soliton Equations VI–

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BKP and CKP revisited: the odd KP system

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Tau function of the CKP hierarchy and nonlinearizable virasoro symmetries

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The ``ghost'' symmetry in the CKP hierarchy

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CKP hierarchy, bosonic tau function and bosonization formulae

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Kadomtsev-Petviashvili turning points and CKP hierarchy

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Toda lattice hierarchy and conservation laws

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Integration of nonlinear equations by the methods of algebraic geometry

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METHODS OF ALGEBRAIC GEOMETRY IN THE THEORY OF NON-LINEAR EQUATIONS

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Identifiers

zbMATH Open document ID

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10.1007/s11005-022-01519-0

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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:2121411

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