On the nonexistence of rational first integrals for systems of linear differential equations
โ 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.
๐ SIMILAR VOLUMES
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
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