Publication detail

Generalized contact transformations

CHRASTINOVÁ, V. TRYHUK, V.

Original Title

Generalized contact transformations

Type

journal article - other

Language

English

Original Abstract

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.

Keywords

generalized contact transformations, contact forms, prolongation

Authors

CHRASTINOVÁ, V.; TRYHUK, V.

RIV year

2007

Released

1. 12. 2007

Publisher

The University of Saint Cyril and Metodius

Location

Trnava, Slovak Republic

ISBN

1336-9180

Periodical

Journal of Applied Mathematics, Statistics and Informatics.

Year of study

3

Number

1

State

Slovak Republic

Pages from

47

Pages to

62

Pages count

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"
}