  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 $MgB_2$.
