Instability analysis and face-to-face collision of dust acoustic waves in dusty plasmas: Perspective Jupiter environment

The collisionless unmagnetized five components dusty plasmas have been considered to study the significance of the face-to-face collision of single- and multi-solitons, phase shifts due to face-to-face collision, and instability of the dust acoustic waves in Jupiter's environment. To study the consequence of face-to-face collision extended Poincaré–Lighthill–Kuo method is used to derive the two-sided nonlinear Korteweg–De Vries (KdV) equation. Besides, to investigate the dust acoustic wave's instability, the nonlinear Schrödinger equation has been derived following the procedure of Slathia et al. The multi-soliton solutions are determined by employing the Hirota bilinear method. The concerned parameters in the issue play a crucial role in the phase shift (generated by the face-to-face collision); the collisional process of single-, double-, triple-, and quadruple-soliton; and the generation of dust acoustic solitons. Furthermore, the plasma parameters are crucial in the formation of dark solitons and envelop shocks.