arXiv subjects

S. Suksern

Publications and source records attributed to S. Suksern.

2 recordsLinked to original sources

arXiv2013

Application of Group Analysis to Classification of Systems of Three Second-Order Ordinary Differential Equations

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 done. Four cases of linear systems of equations are obtained.

math.GR↗

arXiv2013

Applications of tangent transformations to the linearization problem of fourth-order ordinary differential equations

Linearization problem of ordinary differential equations by a new set of tangent transformations is considered in the paper. This set of transformations allows one to extend the set of transformations applied for the linearization problem. Criteria for fourth-order ordinary differential equations to be linearizable are obtained in a particular case; a linearization test and procedure for obtaining the linearizing transformations are provided in explicit forms.

math.CA↗