Published December 6, 2002 | Version v1
Journal article

Classical R-matrix theory of dispersionless systems: I. (1+1)-dimension theory

  • 1. Institute of Physics, A Mickiewicz University, Umultowska 85, 61-614 Poznan (Poland)

Description

A systematic way of construction of (1+1)-dimensional dispersionless integrable Hamiltonian systems is presented. The method is based on the classical R-matrix on Poisson algebras of formal Laurent series. Results are illustrated with the known and new (1+1)-dimensional dispersionless systems

Availability note (English)

Available online at http://stacks.iop.org/0305-4470/35/10325/a24808.pdf or at the Web site for the Journal of Physics. A, Mathematical and General (ISSN 1361-6447) http://www.iop.org/

Additional details

Identifiers

Publishing Information

Journal Title
Journal of Physics. A, Mathematical and General
Journal Volume
35
Journal Issue
48
Journal Page Range
p. 10325-10344
ISSN
0305-4470
CODEN
JPHAC5

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
34023248
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
GROUP THEORY; HAMILTONIANS; INTEGRAL CALCULUS; POISSON EQUATION; R MATRIX; TWO-DIMENSIONAL CALCULATIONS
Descriptors DEC
DIFFERENTIAL EQUATIONS; EQUATIONS; MATHEMATICAL OPERATORS; MATHEMATICS; MATRICES; PARTIAL DIFFERENTIAL EQUATIONS; QUANTUM OPERATORS