LIE ALGEBRAIC FACTORIZATION OF MULTIVARIABLE EVOLUTION OPERATORS - DEFINITION AND THE SOLUTION OF THE CANONICAL PROBLEM


DEMIRALP M., RABITZ H.

INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, cilt.31, ss.307-331, 1993 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 31 Konu: 2
  • Basım Tarihi: 1993
  • Doi Numarası: 10.1016/0020-7225(93)90043-t
  • Dergi Adı: INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE
  • Sayfa Sayıları: ss.307-331

Özet

We have recently shown that the factorizaton of certain Lie algebraic evolution operators into a convergent infinite product of simple evolution operators is possible for one-dimensional cases. In this paper, we deal with the multivariable case. To this end, we formulate the factorization for the general case, then we show that most of the practical problems can be brought to a canonical one. The canonical problem has nothing different in concept but the relevant partial differential equations need not be solved. Three simple illustrative examples and concluding remarks complete the work.