الفهرس 
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Abstract
The oblique collision of two ion acoustic solitons (IASs) in a magnetized relativistic degenerate plasma with non-degenerate cold ions in planar geometry is studied. The extended Poincaré–Lighthill–Kuo (PLK) method is used to obtain two Korteweg de Vries (KdV) wave equations that describe the interacting IASs. The effect of the number density on the interaction process is studied. An inverse proportionality between both phase shifts and the equilibrium electron number density neo and also between phase velocity and neo is found in the range 1035m-3 > neo > 1038m-3. It is found that the solitons become more sharper (narrower) and higher by increasing the electrons fluid number density neo. The phase shifts and the phase velocity remain approximately unchanged in the range 1035m-3 < neo < 1038m-3. The
impact of the obliqueness angle, θ, on the soliton interaction process is also studied. The introduced model can be applied for white dwarfs, neutron stars, degenerate electrons gas in metals. The interaction of two ion acoustic ring solitons (IARS) in a relativistic degenerate plasma with non-degenerate cold ions in cylindrical geometry is studied. The interaction (overlapping) process occured at longer time , with increasing neo, due to the effect of neo on the soliton rings shape. The phase shifts ∆Po and ∆Qo were nearly constant for neo < 1033m-3 and ∆Po and ∆Qo reach their maxima at this case while ∆Po and ∆Qo has their minimum at neo < 1037m-3. The introduced model could be applied also for astrophysical objects with high density matter such as white dwarfs, neutron stars, degenerate electrons gas in metals.