Formation of Bound Soliton Molecules in Multimode Optical Fiber with Temporally Modulated Nonlinearities

We investigate the formation of bound soliton molecules developed through a velocity resonance mechanism in a multicomponent system describing the beam propa-gation in multimode optical fiber with controllable coherent and incoherent nonlinearities by obtaining explicit analytical solution and explore their dynamics for various forms of nonlinearities.