Periodic Inertial Alfvén Waves and Overtaking Between Multisolitons in an Electron-Depleted Dusty Plasma

The evolution of periodic dust inertial Alfvén (DInA) waves in an electron-depleted dusty plasma has been presented in two fluids plasma consisting of negatively charged dust and positively charged ions. The Korteweg–de Vries (KdV) equation is derived by employing the reductive perturbation method. Furthermore, using the Sagdeev pseudopotential method, the solution of the KdV equation in the form of an elliptic Jacobian function is obtained to examine the properties of periodic DInA waves. Furthermore, the Hirota bilinear method is adopted to study the overtaking and the variation in the phase shifts of the multisolitons. The combined effects of the plasma beta and the obliqueness of different charged species on the propagation properties of periodic DInA waves as well as their effect on the phase shift of multisolitons have been examined numerically.