Detail publikačního výsledku

On the internal approach to differential equations 3. Infinitesimal symmetries

CHRASTINOVÁ, V.; TRYHUK, V.

Originální název

On the internal approach to differential equations 3. Infinitesimal symmetries

Anglický název

On the internal approach to differential equations 3. Infinitesimal symmetries

Druh

Článek WoS

Originální abstrakt

The geometrical theory of partial differential equations in the absolute sense, without any additional structures, is developed. In particular the symmetries need not preserve the hierarchy of independent and dependent variables. The order of derivatives can be changed and the article is devoted to the higher--order infinitesimal symmetries which provide a~simplifying "linear aproximation" of general groups of higher--order symmetries. The classical Lie's approach is appropriately adapted.

Anglický abstrakt

The geometrical theory of partial differential equations in the absolute sense, without any additional structures, is developed. In particular the symmetries need not preserve the hierarchy of independent and dependent variables. The order of derivatives can be changed and the article is devoted to the higher--order infinitesimal symmetries which provide a~simplifying "linear aproximation" of general groups of higher--order symmetries. The classical Lie's approach is appropriately adapted.

Klíčová slova

higher--order transformations, variation, infinitesimal symmetry, diffiety, standard basis

Klíčová slova v angličtině

higher--order transformations, variation, infinitesimal symmetry, diffiety, standard basis

Autoři

CHRASTINOVÁ, V.; TRYHUK, V.

Rok RIV

2018

Vydáno

27.10.2016

Nakladatel

Mathematical institute, Slovak Academy of Sciences, DE GRUYTER Mathematica Slovaca

Místo

Bratislava

ISSN

0139-9918

Periodikum

Mathematica Slovaca

Svazek

66

Číslo

6

Stát

Slovenská republika

Strany od

1459

Strany do

1474

Strany počet

16

URL

https://www.degruyter.com/view/j/ms.2016.66.issue-6/ms-2016-0236/ms-2016-0236.xml?rskey=3gCmsj&result=1

BibTex

@article{BUT133573,
  author="Veronika {Chrastinová} and Václav {Tryhuk}",
  title="On the internal approach to differential equations 3. Infinitesimal symmetries",
  journal="Mathematica Slovaca",
  year="2016",
  volume="66",
  number="6",
  pages="1459--1474",
  doi="10.1515/ms-2016-0236",
  issn="0139-9918",
  url="https://www.degruyter.com/view/j/ms.2016.66.issue-6/ms-2016-0236/ms-2016-0236.xml?rskey=3gCmsj&result=1"
}