Complete group classification of systems of two linear second-order ordinary differential equations
Loading...
Date
Journal Title
Journal ISSN
Volume Title
Publisher
Elsevier
Abstract
We give a complete group classification of the general case of linear systems of two second-order ordinary differential equations excluding the case of systems which are studied in the literature. This paper gives the initial step in the study of nonlinear systems of two second-order ordinary differential equations. It can also be extended to systems of equations with more than two equations. Furthermore the complete group classification of a system of two linear second-order ordinary differential equations is done. Four cases of linear systems of equations with inconstant coefficients are obtained.
Description
Citation
Moyo, S., Meleshko, S.V. and Oguis, G.F. 2013. Complete group classification of systems of two linear second-order ordinary differential equations. Communications in Nonlinear Science and Numerical Simulation, 18(11): 2972-2983.
DOI
10.1016/j.cnsns.2013.04.012