In this paper, we study the head-on collision between two dust ion acoustic solitons in quantum pair-ion plasma. Using the extended Poincare–Lighthill–Kuo method, we obtain the Korteweg–de Vries equation, the phase shifts, and the trajectories after the head-on collision of the two dust ion acoustic solitons. It is observed that the phase shifts are significantly affected by the values of the quantum parameter H, the ratio of the multiples of the charge state and density of positive ions to that of the negative ions β and the concentration of the negatively charged dust particles δ.
The propagation and interaction between ion acoustic multi-solitons in an unmagnetized multicomponent plasma consisting of fluid hot ions, positrons and both hot and cold electrons, are investigated by employing the extended Poincare–Lighthill–Kuo (PLK) method. Two different Kortewege-de Vries (K-dV) equations are derived. The Hirota's method is applied to get the K-dV multi-solitons solution. The phase shift due to the overtaking and head- on collision of the multi-solitons is obtained.
Collisions of solitary pulses in a four species quantum semiconductor plasma consisting of degenerate electrons, degenerate holes, and non-degenerate ions are investigated. The electron and hole exchange-correlation forces between the identical particles when their wave functions overlap due to the high number densities are considered. Using the extended Poincarê–Lighthill-Kue method in opposite directions, two Korteweg-de Vries equations are derived. Hirota's method is used to derive the analytical phase shifts after the collision of one soliton and two soliton. Typical values for GaAs, GaSb, GaN, and InP semiconductors are considered to analyze the effects after collisions.
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