Head-on collision between single- and multi-soliton heavy ion acoustic waves in multi-ion plasmas

Abstract

Head-on collisions among the single-and multi-soliton’s heavy ion acoustic waves (HIAWs) of multi-ion plasma are studied. The plasma consists of adiabatic positively charged inertial heavy ions, Boltzmann energy distributed light ions and kappa energy distributed electrons. The extended poincaré-Lighthill-Kuo (ePLK) method is applied for the derivation of two-sided Korteweg–de Vries (KdV) equations (KdVEs). The KdV single-soliton solutions (KdVSSs) are determined using the hyperbolic secant method and the KdV multi-soliton solutions (KdVMSs) are obtained using the Hirota method. The effects of superthermality of electrons, temperature ratios of electron to light ion and heavy ion to electron, and the density ratio of electron to heavy ion on phase shifts are investigated for the head-on collisions between two-soliton HIAWs. The effects of plasma parameters on angular frequency, phase speed, production of multi-soliton structures, and the head-on collisions among single-, double-, triple-, quadruple-, and quintuple-solitons are also studied.