  An approximate analytical solution of the Balitsky-Kovchegov (BK) equation
using the homotopy perturbation method (HPM) is suggested in this work. We have
carried out our work in perturbative QCD (pQCD) dipole picture of deep
inelastic scattering (DIS). The BK equation in momentum space with some change
of variables and truncation of the BFKL (Balitsky-Fadin-Kuraev-Lipatov) kernel
can be reduced to the FKPP (Fisher-Kolmogorov-Petrovsky-Piscounov) equation
[Munier and Peschanski 2003]. The observed geometric scaling phenomena are
similar to the travelling wave solution of the FKPP equation. We solved the BK
equation using the HPM. The obtained solution in this work also suggests the
travelling wave nature of the measured scattering amplitude N(k, Y) plotted at
various rapidities. The result obtained in this work can be helpful for
different phenomenological studies in high-density QCD.
