[en] Results of calculations of the parallel (Ssub(parallel)) and perpendicular (Ssub(perpendicular)) dynamic structure factors of scattering of neutrons on the ideal (kink and bion) gas in the sine-Gordon (SG) model are presented. It is shown that Ssub(parallel)(q, ω) consists of a central peak (CP) and a series of satellites. The structure of Ssub(perpendicular)(q, ω) is determined essentially by a set of satellites. The main characteristics of the satellites and CP are found and their dependence on temperature (T), magnetic field (H) and the momentum transfer q is analysed. The results obtained are compared with the experimental data of Steiner on the inelastic scattering of neutrons by CsNiF₃ patterns. For some values of T and q the bion contribution to the CP becomes principal. The satellites are due only to bions (breathers). The behaviour of the first statellites depending on q, T and H is inqualitative agreement with the experiment for the line shape of S(q, ω) and for the intensity of the CP. This may indicate that the SG-model is not appropriate for the spin dynamics in CsNiF₃, or that the ideal-gas phenomenology does not correspond to the model