Tzitzeica solitons versus relativistic Calogero–Moser three-body clusters (Q3650520)

scientific article

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English	Tzitzeica solitons versus relativistic Calogero–Moser three-body clusters	scientific article

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instance of

scholarly article

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title

Tzitzeica solitons versus relativistic Calogero–Moser three-body clusters (English)

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published in

Journal of Mathematical Physics

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publication date

14 December 2009

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full work available at URL

https://arxiv.org/abs/0903.2131

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zbMATH Keywords

hyperbolic relativistic Calogero-Moser systems

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soliton solutions

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Tzitzeica equation

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author

Jonathan J. C. Nimmo

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Simon N. M. Ruijsenaars

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MaRDI profile type

MaRDI publication profile

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cites work

Die Differentialgleichung der Affinsphären in einer neuen Gestalt

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The reduction problem and the inverse scattering method

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Self-dual Einstein spaces via a permutability theorem for the Tzitzeica equation.

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Bäcklund transformation and the Painlevé property

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On the Moutard transformation for integrable partial differential equations

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The two-singular-manifold method: I. Modified Korteweg-de Vries and sine-Gordon equations

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The affinspharen equation. Moutard and Backlund transformations

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The Tzitzeica equation: A Bäcklund transformation interpreted as truncated Painlevé expansion

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Darboux transformation and some multi-phase solutions of the Dodd-Bullough-Tzitzeica equation: \(U_{xt}=e^ U-e^{-2U}\).

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Tzitzéica equation and proliferation of nonlinear integrable equations

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ULTRADISCRETIZATION OF THE TZITZEICA EQUATION

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The \(\tan h\) method: solitons and periodic solutions for the Dodd-Bullough-Mikhailov and the Tzitzeica-Dodd-Bullough equations

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Relationship between symmetries of the Tzitzéica equation and the Novikov-Veselov hierarchy

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Form factors of exponential operators and exact wave function renormalization constant in the Bullough-Dodd model

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Expectation values of local fields in the Bullough-Dodd model and integrable perturbed conformal field theories

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QUANTUM SOLITONS

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The Bullough-Dodd model coupled to matter fields

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A class of 1-D gas flows soluble by the inverse scattering transform

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On Tzitzéica Vortex Streets and Their Reciprocals in Subsonic Gas Dynamics

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A new class of integrable systems and its relation to solitons

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Action-angle maps and scattering theory for some finite-dimensional integrable systems. II: Solitons, antisolitons, and their bound states

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Integrable particle systems vs solutions to the KP and 2D Toda equations

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Reflectionless Analytic Difference Operators II. Relations to Soliton Systems

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Solitons and infinite dimensional Lie algebras

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Landau-Lifshitz equation: solitons, quasi-periodic solutions and infinite-dimensional Lie algebras

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Hall-Littlewood symmetric functions and the BKP equation

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

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Darboux transformations for the two-dimensional Toda system

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Darboux transformation and the explicit solutions of differential- difference and difference-difference evolution equations. I

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Identifiers

zbMATH Open document ID

1215.37045

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DOI

10.1063/1.3110012

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:3650520