Reply to the comment by D. Gorokhov cond-mat/0502083

We show that the recent comment by D. Gorokhov, is based on physically obvious errors and misunderstandings of the content of the criticized papers and is readily refuted. We show that 1) In our paper [1] there were considered situations of both strong and weak interband coupling regimes. 2) In the ref [1] it was given a wide range of physical systems with Josephson coupling strength ranging from being very strong to being exactly zero on symmetry grounds. 3) While the ref [1] is not a phenomenological study of $MgB_2$, the moderately strong Josephson coupling results of [1] apply to $MgB_2$: the described in [1] double-core vortices have been recently observed in $MgB_2$.