"BK-factorization and Darboux-Laplace transformations"
, in H. R. Arabnia, G.A. Gravvanis: Proc. CSC'05 (The 2005 International Conference on Scientific Computing, June 20-23 Las Vegas), CSREA Press, USA, Seite(n) 144--150, 2005, ISBN: 1-932415-62-9
BK-factorization and Darboux-Laplace transformations
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Proc. CSC'05 (The 2005 International Conference on Scientific Computing, June 20-23 Las Vegas)
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.