Dynamical models of adiabatic $N $-soliton interactions
  The adiabatic N-soliton train interactions for the scalar nonlinear Schrodinger (NLS) equation and its perturbed versions are well studied. Here we briefly outline how they can be generalized for the higher NLS-type equations and for the multicomponent NLS equations. It is shown that in all these cases the complex Toda chain plays fundamental role. 
V. S. Gerdjikov (Institute for Nuclear Research and Nuclear Energy,   Sofia, Bulgaria)