Published July 23, 2010
| Version v1
Journal article
Differential-algebraic integrability analysis of the generalized Riemann type and Korteweg-de Vries hydrodynamical equations
- 1. Department of Mining Geodesy, AGH University of Science and Technology, Cracow 30059 (Poland)
- 2. Department of Algebra and Topology, Faculty of Mathematics and Informatics of the Vasyl Stefanyk Pre-Carpathian National University, Ivano-Frankivsk (Ukraine)
- 3. Institute of Theoretical Physics, University of Wroclaw (Poland)
- 4. Department of Mathematical Physics, P.N. Lebedev Physical Institute, 53 Leninskij Prospekt, Moscow 119991 (Russian Federation)
Description
A differential-algebraic approach to studying the Lax-type integrability of the generalized Riemann-type hydrodynamic equations at N = 3, 4 is devised. The approach is also applied to studying the Lax-type integrability of the well-known Korteweg-de Vries dynamical system.
Availability note (English)
Available from http://dx.doi.org/10.1088/1751-8113/43/29/295205Additional details
Identifiers
- DOI
- 10.1088/1751-8113/43/29/295205;
- PII
- S1751-8113(10)49562-1;
Publishing Information
- Journal Title
- Journal of Physics. A, Mathematical and Theoretical (Online)
- Journal Volume
- 43
- Journal Issue
- 29
- Journal Page Range
- [13 p.]
- ISSN
- 1751-8121
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 42037100
- Subject category
- S97: MATHEMATICAL METHODS AND COMPUTING;
- Descriptors DEI
- ALGEBRA; ANALYTICAL SOLUTION; INTEGRAL CALCULUS; KORTEWEG-DE VRIES EQUATION; RIEMANN FUNCTION
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; EQUATIONS; FUNCTIONS; MATHEMATICAL SOLUTIONS; MATHEMATICS; PARTIAL DIFFERENTIAL EQUATIONS