학술논문
COMPLETE CLASSIFICATION OF SCALAR FOURTH-ORDER ORDINARY DIFFERENTIAL EQUATIONS AND LINEARIZING ALGORITHMS
Document Type
Academic Journal
Author
Source
Dynamic Systems and Applications. March, 2021, Vol. 30 Issue 3, p519, 16 p.
Subject
Language
English
ISSN
1056-2176
Abstract
A complete classification of fourth-order ODEs according to the symmetry algebras they admit is carried out. Applications to linearization and physical models in fluids and beam theory are also presented. AMS (MOS) Subject Classification. 34C14, 34C20 Key Words and Phrases. Ordinary differential equations, Symmetry, Applications to beam theory and fluid motion.
1. INTRODUCTION This paper is a contribution to the problem of classification of ODEs according to the symmetry algebras they admit and to the problem of finding linearizing coordinates for [...]
1. INTRODUCTION This paper is a contribution to the problem of classification of ODEs according to the symmetry algebras they admit and to the problem of finding linearizing coordinates for [...]