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The beamed inverse Compton/cosmic microwave background model has generallybeen used for the interpretation of X-ray radiation from kiloparsec-scale jetsof the core-dominated quasars. Recent \textit{Fermi}-LAT and \textit{HST}observations have brought this model into question. We examine the assumptionthat X-rays from the kiloparsec-scale jet of the quasar PKS~1127$-$145 areproduced by inverse Compton scattering of the central source emission. In thiscontext, we show that both similarity and distinction between the observedradio and X-ray spectral indices for some of the jet knots can be explainedunder a single power-law electron energy distribution. We derive that theviewing angle of the kiloparsec-scale jet is about $35^\circ$ and the jet has amoderate relativistic speed of $\approx 0.8c$. The predicted gamma-ray flux ofthe jet is found to be a few orders of magnitude lower than the minimum fluxlevel measured by \textit{Fermi}-LAT, further supporting our scenario.

Inverse Compton Scattering of the Central Source Photons as an X-ray Emission Mechanism on Kiloparsec Scales in PKS 1127-145