Abel ODEs: Equivalence and integrable classes

Published: 01-01-2000| Version 1 | DOI: 10.17632/3dwdznbb49.1
E.S. Cheb-Terrab,
A.D. Roche


Abstract A classification, according to invariant theory, of non-constant invariant Abel ODEs known as solvable and found in the literature is presented. A set of new integrable classes depending on one or no parameters, derived from the analysis of the works by Abel (1881), Liouville (1886) and Appell (1889), is also shown. Computer algebra routines were developed to solve ODEs members of these classes by solving their related equivalence problem. The resulting library permits a systematic solving of... Title of program: Extension to ODEtools package Catalogue Id: ADMB_v1_0 Nature of problem Analytical solving of Abel type first order ODEs having non-constant invariant. Versions of this program held in the CPC repository in Mendeley Data ADMB_v1_0; Extension to ODEtools package; 10.1016/S0010-4655(00)00042-4 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2019)