Abstract
BK-factorization of bivariate LPDOs is outlined. As an example, class of factorized hyperbolic operators is constructed as well as general solution in quadratures for operators of this class. Coupling of BK-factorization with Darboux-Laplace transformations is described which provided additional factorization conditions (demand of generalized commutativity) in the case when BK-factorization does not provide factorization into all first order factors but some factor of order $n>1$ appears. The structure of programm package for general factorization of linear differential operators is briefly discussed.
| Original language | English |
|---|---|
| Title of host publication | Proc. CSC'05 (The 2005 International Conference on Scientific Computing, June 20-23 Las Vegas) |
| Editors | H. R. Arabnia, G.A. Gravvanis |
| Publisher | CSREA Press, USA |
| Pages | 144-150 |
| Number of pages | 7 |
| ISBN (Print) | 1-932415-62-9 |
| Publication status | Published - 2005 |
Fields of science
- 101 Mathematics
- 101001 Algebra
- 101005 Computer algebra
- 101009 Geometry
- 101012 Combinatorics
- 101013 Mathematical logic
- 101020 Technical mathematics