๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

On the nonexistence of rational first integrals for systems of linear differential equations

โœ Scribed by Andrzej Nowicki


Book ID
107826659
Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
520 KB
Volume
235
Category
Article
ISSN
0024-3795

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


On Rational Solutions of Systems of Line
โœ Moulay A. Barkatou ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 403 KB

Let K be a field of characteristic zero and M(Y ) = N a system of linear differential equations with coefficients in K(x). We propose a new algorithm to compute the set of rational solutions of such a system. This algorithm does not require the use of cyclic vectors. It has been implemented in Maple

First integrals of the equations ofnon-l
โœ N.A. Kudryashov ๐Ÿ“‚ Article ๐Ÿ“… 2005 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 519 KB

An algorithm for finding the first integrals of fourth-order non-linear differential equations, encountered when describing nonlinear wave processes, is proposed. The use of the method is illustrated by a number of examples. The first integrals obtained are employed to construct a solution of the ge