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