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

DOI10.1006/aphy.1997.5674zbMath0921.35167OpenAlexW2054581208MaRDI QIDQ1290368

Simon N. M. Ruijsenaars

Publication date: 28 June 1999

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://ir.cwi.nl/pub/2184

zbMATH Keywords

\(N\)-soliton solutionsKP equationsToda equationselliptic interactionshyperbolic interactionsintegrable relativistic \(N\)-particle systemssoliton-particle correspondence

Mathematics Subject Classification ID

Related Items (5)

Rational Ruijsenaars-Schneider hierarchy and bispectral difference operators ⋮ Reflectionless Analytic Difference Operators II. Relations to Soliton Systems ⋮ Hilbert space theory for reflectionless relativistic potentials ⋮ Tzitzeica solitons versus relativistic Calogero–Moser three-body clusters ⋮ Elliptic solutions to integrable nonlinear equations and many-body systems

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