Complete group classification of systems of two linear second-order ordinary differential equations
| dc.contributor.author | Moyo, Sibusiso | en_US |
| dc.contributor.author | Meleshko, Sergey | en_US |
| dc.contributor.author | Oguis, Giovanna Fae Ruiz | en_US |
| dc.date.accessioned | 2013-08-30T05:43:19Z | |
| dc.date.available | 2013-08-30T05:43:19Z | |
| dc.date.issued | 2013-11 | |
| dc.description.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. | en_US |
| dc.dut-rims.pubnum | DUT-002535 | en_US |
| dc.format.extent | 23 p | en_US |
| dc.identifier.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. | en_US |
| dc.identifier.doi | 10.1016/j.cnsns.2013.04.012 | |
| dc.identifier.uri | http://hdl.handle.net/10321/894 | |
| dc.language.iso | en | en_US |
| dc.publisher | Elsevier | en_US |
| dc.publisher.uri | http://dx.doi.org/10.1016/j.cnsns.2013.04.012 | en_US |
| dc.subject | Group classification | en_US |
| dc.subject | Admitted Lie group | en_US |
| dc.subject | Equivalence transformation | en_US |
| dc.subject.lcsh | Differential equations, Linear | en_US |
| dc.title | Complete group classification of systems of two linear second-order ordinary differential equations | en_US |
| dc.type | Article | en_US |