Affordable Access

deepdyve-link deepdyve-link
Publisher Website

CONTACT SYMMETRIES OF SECOND ORDER DIFFERENTIAL EQUATIONS

Authors
  • Mahomed, F.M.
  • Leach, P.G.L.
Publication Date
Mar 01, 1989
Identifiers
DOI: 10.1063/1.529510
OAI: oai:inspirehep.net:281606
Source
INSPIRE-HEP
License
Unknown
External links

Abstract

There is a natural link between contact symmetries (symmetries that leave invariant the first‐order contact form) and first integrals of a given second‐order ordinary differential equation. It will be shown that the contact symmetry algebra of a general second‐order ordinary differential equation is infinite dimensional and it is generated by the functionally independent first integrals of the equation. Moreover, the contact symmetry algebras of second‐order equations admitting one, two, three, and eight point symmetries are obtained.

Report this publication

Statistics

Seen <100 times