01-416 M.C. Nucci and P.G.L. Leach

The essential harmony in the classical equations of mathematical physics (73K, Latex2e) Nov 8, 01

Abstract , Paper (src), View paper (auto. generated ps), Index of related papers

Abstract. The possibility to transform any system of linear ordinary differential equations into a system of constant coefficient equations is demonstrated using Lie theory. Some examples relate the classical equations of mathematical physics to the simple harmonic oscillator. The r\^oles of the third order form of the Ermakov-Pinney equation and of Fleischen-von Weltunter systems are explained.

Files: 01-416.src( 01-416.comments , 01-416.keywords , classic5.tex )