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Several classes of integrable nonlinear ordinary differential equations (II) —Higher-order equations

✍ Scribed by Li Hong-xiang

Publisher
Springer
Year
1990
Tongue
English
Weight
290 KB
Volume
11
Category
Article
ISSN
0253-4827

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📜 SIMILAR VOLUMES

First integrals and reduction of a class
First integrals and reduction of a class of nonlinear higher order ordinary differential equations
✍ N. Euler; P.G.L. Leach 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 200 KB

We propose a method for constructing first integrals of higher order ordinary differential equations. In particular third, fourth and fifth order equations of the form x (n) = h(x, x (n-1) ) ẋ are considered. The relation of the proposed method to local and nonlocal symmetries are discussed.