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Lie point symmetries and exact solutions of quasilinear differential equations with critical exponents

✍ Scribed by Yuri Bozhkov; Antonio Carlos Gilli Martins

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
290 KB
Volume
57
Category
Article
ISSN
0362-546X

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πŸ“œ SIMILAR VOLUMES

Periodic solutions of second-order diffe
Periodic solutions of second-order differential equations with two-dimensional Lie point symmetry algebra
✍ Isaac A. GarcΓ­a; Jaume GinΓ©; Susanna Maza πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 426 KB

In this paper, we study some aspects of the dynamics in the phase plane of smooth secondorder differential equations ẍ = w(x, αΊ‹) possessing an r-dimensional Lie point symmetry algebra L r with r β‰₯ 2, focusing on the existence, nonexistence and localization periodic orbits. Finally, it is proved that