Nonlinear action of Lie groups and superposition principles for nonlinear differential equations

P. Winternitz

Physica A: Statistical Mechanics and its Applications, 1982, vol. 114, issue 1, 105-113

Abstract: Recently obtained results on superposition principles for systems of ordinary nonlinear equations are reviewed. In particular the general solution of the matrix Riccati equation is expressed in terms of five particular solutions. The study of superposition laws is related to the problem of Bäcklund transformations for nonlinear partial differential equations, to the problem of transforming nonlinear equations into linear ones and to the classification of primitive filtered Lie algebras.

Date: 1982
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/0378437182902680
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:114:y:1982:i:1:p:105-113

DOI: 10.1016/0378-4371(82)90268-0

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().