Solutions of Coupled DGLAP Evolution Equations for Singlet and Gluon Structure Functions in leading order at low-x

In this paper, we solved the coupled Dokshitzer-Gribov-Lipatov-Altarelli-Parisi (DGLAP) evolution equations for singlet and gluon structure functions in leading order (LO) at low-x assuming the Regge behaviour of quark and gluon structure functions at this limit, and t and x-evolutions of singlet and gluon structure functions are presented. We have compared our results of gluon structure function with global MRST 2004 and GRV 1998 gluon parameterizations and the results of deuteron structure function with New Muon Collaboration (NMC) data. We have shown that the solutions of coupled equations give accurate results for the structure functions and also the compatibility of Regge behaviour of quark and gluon structure functions with perturbative quantum chromodynamics (PQCD) at low-x.