A new class of integrable systems and its relation to solitons

Journal Article · Mon Sep 01 00:00:00 EDT 1986 · Annals of Physics (New York)

DOI:https://doi.org/10.1016/0003-4916(86)90097-7· OSTI ID:5081618

Ruijsenaars, S N.M.; Schneider, H

We present and study a class of finite-dimensional integrable systems that may be viewed as relativistic generalizations of the Calogero-Moser systems. For special values of the coupling constants we obtain N-italic-particle systems that are intimately related to the N-italic-soliton solutions of the sine-Gordon and Korteweg-de Vries equations, among other ones.

• Research Organization: Mathematics Department, Tuebingen University, Tuebingen, Federal Repbulic of Germany
• OSTI ID: 5081618
• Journal Information: Annals of Physics (New York), Vol. 170:2
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
KORTEWEG-DE VRIES EQUATION
SOLITONS
PARTICLE INTERACTIONS
SINE-GORDON EQUATION
COUPLING CONSTANTS
HAMILTONIANS
POINCARE GROUPS
DIFFERENTIAL EQUATIONS
EQUATIONS
FIELD EQUATIONS
INTERACTIONS
LIE GROUPS
MATHEMATICAL OPERATORS
PARTIAL DIFFERENTIAL EQUATIONS
QUANTUM OPERATORS
QUASI PARTICLES
SYMMETRY GROUPS
645400* - High Energy Physics- Field Theory
645500 - High Energy Physics- Scattering Theory- (-1987)