𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Solving Second Order Ordinary Differential Equations with Maximal Symmetry Group

✍ Scribed by F. Schwarz


Publisher
Springer Vienna
Year
1999
Tongue
English
Weight
143 KB
Volume
62
Category
Article
ISSN
0010-485X

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Exceptional Properties of Second and Thi
✍ S Moyo; P.G.L Leach πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 137 KB

The Riccati transformation is used in the reduction of order of second and third Ε½ . order ordinary differential equations of maximal symmetry. The sl 2, R subalgebra is preserved under this transformation. The Riccati transformation is itself associated with the symmetry that is annihilated in the

Complex Lie symmetries for scalar second
✍ S. Ali; F.M. Mahomed; A. Qadir πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 509 KB

A scalar complex ordinary differential equation can be considered as two coupled real partial differential equations, along with the constraint of the Cauchy-Riemann equations, which constitute a system of four equations for two unknown real functions of two real variables. It is shown that the resu

Symmetry breaking of systems of linear s
✍ CΓ©lestin Wafo Soh πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 174 KB

We show that the structure of the Lie symmetry algebra of a system of n linear secondorder ordinary differential equations with constant coefficients depends on at most n Γ€ 1 parameters. The tools used are Jordan canonical forms and appropriate scaling transformations. We put our approach to test by