Comparative analysis of analytical solutions forF2P(x,t)in the DGLAP approach

Coupled Dokshitzer-Gribov-Lipatov-Altarelli-Parisi equations involving singlet quark and gluon distributions are explored by a Taylor expansion at small xas two first-order partial differential equations in two variables: Bjorken xand t(t=ln\frac{{Q}^{2}}{{\mathrm{\ensuremath{\Lambda}}}^{2}}. The system of equations are then solved by Lagrange's method and the method of characteristics. We obtain the proton structure function...