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The nonlinear propagation of small amplitude ion acoustic solitary wave inrelativistic degenerate magneto plasma in presence of ion beam is investigatedin detail. The nonlinear equations describing the evolution of solitary wave inpresence of relativistic non-degenerate magnetized positive ions and ion beamsincluding magnetized degenerate relativistic electrons are derived in terms ofZakharov-Kuznetsov (Z-K) equation for such plasma systems. The ion beams whichare ubiquitous ingredient in such plasma systems, are found to have a decisiverole in the propagation of solitary wave in such highly dense plasma system.The conditions of wave, propagating with typical solitonic characteristics areexamined and discussed in detail under suitable conditions of differentphysical parameter. Both subsonic and supersonic wave can propagate in suchplasmas bearing different characteristics under different physical situations.A detailed analysis of waves propagating in subsonic and/or supersonic regimeis carried out. The ion beam concentrations, magnetic field as well as ion beamstreaming velocity is found to play a momentous role on the control of theamplitude and width of small amplitude perturbation both in weakly(ornon-relativistic) and relativistic plasmas.

Characteristics of solitary waves in a relativistic degenerate ion beam driven magneto plasma