Solution of polarised singlet DGLAP evolution equations by the method of characteristics

Abstract

Polarised singlet DGLAP equations are solved by applying the method of characteristics. The singlet equations are first transformed into a pair of coupled partial differential equations by a Taylor series expansion valid to be at small x. The equations are then reduced to canonical forms and the resultant equations solved by applying the method of characteristics. Results are compared with some exact solutions of polarised DGLAP equations available in the literature.