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BK-factorization and Darboux-Laplace transformations

  • Elena Kartaschova

Research output: Chapter in Book/Report/Conference proceedingConference proceedingspeer-review

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 languageEnglish
Title of host publicationProceedings of the 2005 International Conference on Scientific Computing, CSC'05
Editors H. R. Arabnia, G.A. Gravvanis
PublisherCSREA Press, USA
Pages144-150
Number of pages7
ISBN (Print)9781932415629
Publication statusPublished - 2005

Publication series

NameProceedings of the 2005 International Conference on Scientific Computing, CSC'05

Fields of science

  • 101 Mathematics
  • 101001 Algebra
  • 101005 Computer algebra
  • 101009 Geometry
  • 101012 Combinatorics
  • 101013 Mathematical logic
  • 101020 Technical mathematics

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