Theoretical investigations for generation of rogue waves in plasma system have been done; We studied the behavior of the nonlinear rogue waves in Jupiter as result of interaction of streaming relativistic electron beam with three component s dusty plasma composed of positive dust grains, as well as Maxwellian elec trons and positive ions. The most typical nonlinear equatio n to describe the propagation of rogue wave is the nonlinear Schrodenger equation so it has been calculated. The interaction of a relativistic electron beam with the plasma system can introduce new modes and instability.