Published July 26, 2002
| Version v1
Journal article
The existence of Bogomolny decomposition by means of strong necessary conditions
Creators
- 1. Institute of Physics, Jagellonian University, Cracow (Poland)
- 2. Institute of Computer Science, Technical University of Czestochowa, Czestochowa (Poland)
- 3. Institute of Physics, Technical University of Cracow, Cracow (Poland)
Description
The concept of strong necessary conditions for the extremum of a functional to exist, has been applied to analyse the existence of the Bogomolny decomposition for a system of two coupled nonlinear partial differential equations in 1+1 dimensions. A general condition for a derivativeless term has been derived for both hyperbolic and elliptic systems. In the case of independent equations the Bogomolny equations become Baecklund transformations. Illustrative examples are presented for the particular form of derivativeless terms. (author)
Availability note (English)
Available online at the Web site for the Journal of Physics. A, Mathematical and General (ISSN 4361-6447) http://www.iop.org/Additional details
Identifiers
- URL
- http://www.iop.org/;
- DOI
- 10.1088/0305-4470/35/29/315;
- PII
- S0305-4470(02)31598-1;
Publishing Information
- Journal Title
- Journal of Physics. A, Mathematical and General
- Journal Volume
- 35
- Journal Issue
- 29
- Journal Page Range
- p. 6157-6168
- ISSN
- 0305-4470
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 33043880
- Subject category
- S99: GENERAL AND MISCELLANEOUS;
- Descriptors DEI
- BAECKLUND TRANSFORMATION; ELLIPTICAL CONFIGURATION; FUNCTIONAL ANALYSIS; PARTIAL DIFFERENTIAL EQUATIONS; TWO-DIMENSIONAL CALCULATIONS
- Descriptors DEC
- CONFIGURATION; DIFFERENTIAL EQUATIONS; EQUATIONS; MATHEMATICS; TRANSFORMATIONS