  The Hanbury Brown-Twiss experiment has proved to be an effective means of
measuring two-point correlation function of identical particles. We analyze
experimental observation of stripes formation of a phase fluctuating
Bose-Einstein condensates in a highly elongated 3D traps [Dettmer {\em et al.},
Phys. Rev. Lett. {\bf 87}, 160406 (2001)] by means of axial two-point
correlation functions. We also predict that the stripes are present in quasi-1D
Bose gas in the mean-field as well as in the hard-core bosons regimes. These
stripes can be realized by measuring the axial two-point correlation functions
by using the Bragg interferometric method which is similar to the original
Hanbury Brown and Twiss experimental setup.
