Publication result detail

Report on the higher order contact transformations

CHRASTINOVÁ, V.

Original Title

Report on the higher order contact transformations

English Title

Report on the higher order contact transformations

Type

Paper in proceedings (conference paper)

Original Abstract

The classical Lie contact transformations are defined only for the case of one dependent variable and appear through simple envelope of waves. The higher-order contact transformations act without any restriction and rest upon the focusing (or: cumulative) effects. Rather strange perspectives should be expected, e.g., explicit description of the locus of foci (the Monge problem), close links to the Bäcklund transformations and nontrivial examples of higher order external symmetries of differential equations.

English abstract

The classical Lie contact transformations are defined only for the case of one dependent variable and appear through simple envelope of waves. The higher-order contact transformations act without any restriction and rest upon the focusing (or: cumulative) effects. Rather strange perspectives should be expected, e.g., explicit description of the locus of foci (the Monge problem), close links to the Bäcklund transformations and nontrivial examples of higher order external symmetries of differential equations.

Keywords

Jet space, Lie contact transformation, higher order contact transformation.

Key words in English

Jet space, Lie contact transformation, higher order contact transformation.

Authors

CHRASTINOVÁ, V.

RIV year

2012

Released

22.09.2011

Publisher

University of Defence

Location

Brno

ISBN

978-80-7231-815-5

Book

Proceedings part 1 - mathematics

Pages from

171

Pages to

183

Pages count

13

BibTex

@inproceedings{BUT73947,
  author="Veronika {Chrastinová}",
  title="Report on the higher order contact transformations",
  booktitle="Proceedings part 1 - mathematics",
  year="2011",
  number="1",
  pages="171--183",
  publisher="University of Defence",
  address="Brno",
  isbn="978-80-7231-815-5"
}