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Dynamics of atomic and molecular bright solitons in a hybrid atom-molecularBEC (Bose Einstein Condensate) system of 85Rb coupled through Magnetic FeshbachResonance (MFR) has been investigated. By solving the time independentatom-molecular coupled equations, the initial atomic and molecularwavefunctions were obtained and the dynamics of the initial atomic andmolecular waves in a spherical one-dimensional trap were studied by solving thetime-dependent atom-molecular coupled equations. During evolution two types ofinduced or stimulated decays of the feshbach molecules were switched on. Thesetwo types of stimulated decays of the feshbach molecules to the two-atomcontinuum and to the bound level of the lowest hyperfinee state of the moleculewere induced by laser or Radio Frequency fields. Hence the strength of thesetwo induced decays can be controlled by varying the laser or RF fieldparameters e.g. intensity, detuning etc. It is found that depending on therelative strength of these two types of stimulated or induced decays initialatomic and molecular waves assume solitonic nature as bright solitons duringevolution and the stability of these solitonic waves can be achieved bycontrolling the relative strength of induced decays in two different channels.It is shown that these two induced decays lead to the formation of stableatomic and molecular solitons by suppressing the initial oscillations andinstability in the atom-molecular coupled system of 85Rb atoms.

Dynamics of atomic and molecular solitary waves inatom-molecular hybrid  Bose-Einstein condensates coupled by Magnetic Feshbach Resonance: Role of  induced decays of Feshbach Molecules