Third order ordinary differential equations admitting the Painleve equations PI Γ‘nd PII as first integrals are completely characterized. This is done by determining necessary and sufficient conditions for these equations to belong to the equivalence class of certain canonical equations. This charact
The Algebraic Structure of the First Integrals of Third-Order Linear Equations
β Scribed by K.S. Govinder; P.G.L. Leach
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 460 KB
- Volume
- 193
- Category
- Article
- ISSN
- 0022-247X
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π SIMILAR VOLUMES
We undertake a study of the first integrals of linear nth order scalar ordinary differential equations with maximal symmetry. We establish patterns for the first integrals associated with these equations. It is shown that second and third order equations are the pathological cases in the study of hi
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