Affordable Access

Publisher Website

CONTACT SYMMETRIES OF SECOND ORDER DIFFERENTIAL EQUATIONS

Authors
Publication Date
Identifiers
DOI: 10.1063/1.529510
OAI: oai:inspirehep.net:281606
Source
INSPIRE-HEP
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.

There are no comments yet on this publication. Be the first to share your thoughts.

Statistics

Seen <100 times
0 Comments