Abstract

The head on interaction due to two magnetoacoustic solitons is studied in a dense electron-ion magnetoplasma with geometrical and electron spin effects. For this purpose, the extended Poincaré-Lighthill-Kuo (PLK) technique and quantum two fluid equations are utilized to derive a set of nonplanar Korteweg–de Vries equations. The PLK method incorporates the post collision trajectories and the phase shifts encountered by the magnetoacoustic solitons after collision. The interaction is numerically analyzed by choosing some typical plasma parameters from compact astrophysical objects. It is observed that the spin-1/2 effects, statistical pressure, displacement current and geometry of the system significantly modify the phase shifts encountered by the solitons. It is noticed that the enhancement in the number density reduces the phase shift of the colliding solitons. Furthermore, the cylindrical geometry is observed to decrease phase shift by comparison with the planar geometry. The present investigation provides a deeper insight of head on collision caused by the magnetoacoustic solitons in dense magnetoplasmas.

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