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Nonlinear equations with superposition principles and the theory of transitive primitive Lie algebras

✍ Scribed by S. Shnider; P. Winternitz

Publisher
Springer
Year
1984
Tongue
English
Weight
386 KB
Volume
8
Category
Article
ISSN
0377-9017

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πŸ“œ SIMILAR VOLUMES

Nonlinear action of Lie groups and super
Nonlinear action of Lie groups and superposition principles for nonlinear differential equations
✍ P. Winternitz πŸ“‚ Article πŸ“… 1982 πŸ› Elsevier Science 🌐 English βš– 544 KB

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 Backlund

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Coupled systems of nonlinear wave equations and finite-dimensional lie algebras II: A nonlinear system arising from the groupG6.1and its exact integration
✍ P. J. Vassiliou πŸ“‚ Article πŸ“… 1987 πŸ› Springer Netherlands 🌐 English βš– 621 KB

In the first paper of this series a correspondence was established between coupled systems of two-dimensional nonlinear wave equations and the six-dimensional simply transitive Lie algebras. In the present paper we make use of this result to construct a Darboux integrable and exactly integrable non