Published September 30, 2005
| Version v1
Journal article
Multi-Hamiltonian structure of Plebanski's second heavenly equation
Creators
- 1. Department of Physics, Bogazici University, Bebek, Istanbul 34342 (Turkey)
- 2. Feza Guersey Institute, PO Box 6 Cengelkoey, Istanbul 81220 (Turkey)
Description
We show that Plebanski's second heavenly equation, when written as a first-order nonlinear evolutionary system, admits multi-Hamiltonian structure. Therefore by Magri's theorem it is a completely integrable system. Thus it is an example of a completely integrable system in four dimensions
Availability note (English)
Available online at http://stacks.iop.org/0305-4470/38/8473/a5_39_012.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
- URL
- http://stacks.iop.org/0305-4470/38/8473/a5_39_012.pdf; http://www.iop.org/;
- DOI
- 10.1088/0305-4470/38/39/012;
- PII
- S0305-4470(05)99841-7;
Publishing Information
- Journal Title
- Journal of Physics. A, Mathematical and General
- Journal Volume
- 38
- Journal Issue
- 39
- Journal Page Range
- p. 8473-8485
- ISSN
- 0305-4470
- CODEN
- JPHAC5
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 36098664
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- EQUATIONS; FOUR-DIMENSIONAL CALCULATIONS; HAMILTONIANS; INTEGRAL CALCULUS; NONLINEAR PROBLEMS
- Descriptors DEC
- MATHEMATICAL OPERATORS; MATHEMATICS; QUANTUM OPERATORS