Detail publikačního výsledku

Generalized contact transformations

CHRASTINOVÁ, V.; TRYHUK, V.

Originální název

Generalized contact transformations

Anglický název

Generalized contact transformations

Druh

Článek recenzovaný mimo WoS a Scopus

Originální abstrakt

Point transformations can be applied to any system of differential equations. On the other hand, classical contact transformations concern only the particular case of one dependent variable. The article is devoted to certain new contact--like transformations which can be applied to several dependent variables. They are again defined in terms of appropriate contact conditions which are expressed by the intersection of wave fronts. The "reverse waves" with the variables and the parameters interchanged provide the inverse mapping. As a~result, the ancient dream of Lie becomes true: the existence of the higher--order contact transformations is established.

Anglický abstrakt

Point transformations can be applied to any system of differential equations. On the other hand, classical contact transformations concern only the particular case of one dependent variable. The article is devoted to certain new contact--like transformations which can be applied to several dependent variables. They are again defined in terms of appropriate contact conditions which are expressed by the intersection of wave fronts. The "reverse waves" with the variables and the parameters interchanged provide the inverse mapping. As a~result, the ancient dream of Lie becomes true: the existence of the higher--order contact transformations is established.

Klíčová slova

generalized contact transformations, contact forms, prolongation

Klíčová slova v angličtině

generalized contact transformations, contact forms, prolongation

Autoři

CHRASTINOVÁ, V.; TRYHUK, V.

Vydáno

01.12.2007

Nakladatel

The University of Saint Cyril and Metodius

Místo

Trnava, Slovak Republic

ISSN

1336-9180

Periodikum

Journal of Applied Mathematics Statistics and Informatics

Svazek

3

Číslo

1

Stát

Slovenská republika

Strany od

47

Strany do

62

Strany počet

16

BibTex

@article{BUT45113,
  author="Veronika {Chrastinová} and Václav {Tryhuk}",
  title="Generalized contact transformations",
  journal="Journal of Applied Mathematics Statistics and Informatics",
  year="2007",
  volume="3",
  number="1",
  pages="47--62",
  issn="1336-9180"
}