Symmetry and integrability by quadratures of ordinary differential equations
✍ Scribed by Artemio González-López
- Publisher
- Elsevier Science
- Year
- 1988
- Tongue
- English
- Weight
- 441 KB
- Volume
- 133
- Category
- Article
- ISSN
- 0375-9601
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📜 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
Homotopy operators are used to obtain unconstrained local solutions of systems of exterior differential equations by quadratures. An analysis is given of when given systems of constraints on the solutions can be realized. The results are applied to several classes of classical problems. A collection