Mathematics Seminar on 10 August

[math]

MATHEMATICS SEMINARS - 2012

Friday, 10 August, at 11:00 hrs

Professor Asghar Qadir
(National University of Sciences and Technology, Islamabad, Pakistan)

"Linearization of ODEs: Geometric, Complex and Conditional"


Abstract: In Lie symmetry analysis, linearization is the conversion of a 
(system of) differential equations to linear form, provided there exists 
a transformation of the independent and dependent variables that can do 
so. Lie provided criteria for determining if and when second order 
scalar ODEs could be so transformed. Considerably later the methods were 
extended to special classes of third order scalar ODEs. Only recently 
was there significant progress in this direction. It included the 
general third and fourth order scalar ODEs and some general results were 
proved for nth order SCALAR ODEs about the classes of such ODES, and 
some general results about classes of linearizable second order systems 
of ODEs. Many more advances have been made more recently by the use of 
geometry and complex analysis for the purpose. Further, without actually 
linearizing the system of equations linearization has been used to 
provide their solution. In this talk these developments will be reviewed.

Venue: Luigi Stasi Seminar Room, ICTP Leonardo Building, first floor.