Premium
Application of group analysis to classification of systems of three second‐order ordinary differential equations
Author(s) -
Suksern S.,
Moyo S.,
Meleshko S. V.
Publication year - 2015
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.3430
Subject(s) - mathematics , ordinary differential equation , linear differential equation , nonlinear system , differential equation , differential algebraic equation , exponential integrator , order (exchange) , mathematical analysis , group (periodic table) , examples of differential equations , numerical partial differential equations , chemistry , physics , organic chemistry , finance , quantum mechanics , economics
Here, we give a complete group classification of the general case of linear systems of three second‐order ordinary differential equations excluding the case of systems which are studied in the literature. This is given as the initial step in the study of nonlinear systems of three second‐order ordinary differential equations. In addition, the complete group classification of a system of three linear second‐order ordinary differential equations is carried out. Four cases of linear systems of equations are obtained. Copyright © 2015 John Wiley & Sons, Ltd.