Ion‐acoustic compressive and rarefactive solitons in an electron‐beam plasma system

Using the general formulation of reductive perturbation method, the Korteweg–de Vries (KdV) equation is derived for an electron‐beam plasma with hot isothermal beam and plasma electrons and warm ions. The soliton solution of the KdV equation is discussed in detail. It is found that above a critical velocity of electron‐beam two additional ion‐acoustic soliton branches appear. It is found that corresponding to two linear modes, the system supports the existence of compressive as well as rarefactive solitons depending upon the plasma parameters, while corresponding to other two wave modes, the system supports only rarefactive solitons. The effect of different parameters on the characteristics of solitons have been investigated in detail.

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