Magnetic field contribution to soliton propagation and reflection in an inhomogeneous plasma

The propagation and reflection characteristics of an ion acoustic soliton are studied in an inhomogeneous plasma through two coupled equations of the KdV family, and the contribution of external static magnetic field is evaluated. The incident and reflected solitons behave oppositely with the angle ψ   between the directions of magnetic field and the wave propagation. Two cases of ω_pi>Ωi${\omega }_{pi}>{\Omega }_i$ and ω_pi<Ωi${\omega }_{pi}<{\Omega }_i$ are examined, where ω_pi${\omega }_{pi}$ is the ion plasma frequency and Ωi${\Omega }_i$ is the ion gyrofrequency. It is found that the soliton gets reflected more strongly when the condition ω_pi>Ωi${\omega }_{pi}>{\Omega }_i$ is achieved in the plasma. The effect of magnetic field is found to be more pronounced on the reflected soliton.