  We study resonant radiation generated by bound solitons in a twin-core fiber
near zero-dispersion wavelength, in the presence of higher order dispersion
terms. We propose a theoretical description of dispersive wave generation
mechanism and derive resonance conditions. The presence of third order
dispersion term leads to generation of polychromatic dispersive radiation and
transition from the regime of center of mass oscillations to the regime of
amplitude oscillations. Such a transition is not reproduced in the case of
symmetric fourth order dispersion.
