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Interaction of Beam-Driven Electron-Acoustic Solitons in Auroral Region
Abstract
The interaction of beam driven solitons is studied in an unmagnetized plasma, comprising (r,q) distributed hot electrons, cold inertial electrons, warm electron beam and static ions. For this purpose, fluid equations are solved to obtain four distinct roots of linear dispersion relation which vary with beam speed. For small-amplitude limit, the standard Korteweg-de Vries (KdV) equation is derived that admits soliton solution and critical condition gives rise to modified KdV equation (mKdV). The overtaking interaction of KdV and mKdV solitons is studied by Hirota method, while the head-on collision (HOC) by the Poincare-Lighthill-Kuo (PLK) technique. The analytical expressions of phase shifts are examined for the plasma parameters, namely density, temperature, and velocity of beam electrons. In contrast to Hirota method, the PLK method provides the linear sum of the solitons at the point of interaction. However, despite this limitation, PLK technique is only analytical technique available to study HOC. The relevance of this model is interesting to understand tripolar electric field structures in Earth's Auroral region, which may be associated to the interaction of EASWs in space plasmas.
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