## Abstract Symmetries of stochastic ordinary differential equations (SODEs) are analysed. This work focuses on maintaining the properties of the Weiner processes after the application of infinitesimal transformations. The determining equations (DEs) for firstβorder SODEs are derived in an ItΓ΄ calc
Symmetries of First Integrals and Their Associated Differential Equations
β Scribed by P.G.L. Leach; K.S. Govinder; B. Abraham-Shrauner
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 141 KB
- Volume
- 235
- Category
- Article
- ISSN
- 0022-247X
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π SIMILAR VOLUMES
The concept of the complete symmetry group of a differential equation introduced by J. Krause (1994, J. Math. Phys. 35, 5734-5748) is extended to integrals of such equations. This paper is devoted to some aspects characterising complete symmetry groups. The algebras of the symmetries of both differe
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
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