We study theoretically the interaction of temporal localized states in
all fiber cavities and microresonator-based optical frequency comb
generators. We show that Cherenkov radiation emitted in the presence of third
order dispersion breaks the symmetry of the localized structures interaction
and greatly enlarges their interaction range thus facilitating the
experimental observation of the dissipative soliton bound states. Analytical
derivation of the reduced equations governing slow time evolution of the
positions of two interacting localized states in a generalized
Lugiato-Lefever model with the third order dispersion term is performed.
Numerical solutions of the model equation are in close agreement with
analytical predictions