Phase Shift of KdV Soliton Associated with Collision Phenomena of Force KdV Solitons and Analysis of Time Fractional Ion-Acoustic Dusty Plasma Waves in the Earth’s Magnetosheath
Article
Imon, U, Alam, MS. (2025). Phase Shift of KdV Soliton Associated with Collision Phenomena of Force KdV Solitons and Analysis of Time Fractional Ion-Acoustic Dusty Plasma Waves in the Earth’s Magnetosheath
. BRAZILIAN JOURNAL OF PHYSICS, 55(5), 10.1007/s13538-025-01848-0
Imon, U, Alam, MS. (2025). Phase Shift of KdV Soliton Associated with Collision Phenomena of Force KdV Solitons and Analysis of Time Fractional Ion-Acoustic Dusty Plasma Waves in the Earth’s Magnetosheath
. BRAZILIAN JOURNAL OF PHYSICS, 55(5), 10.1007/s13538-025-01848-0
Magnetized three-component dusty plasma consisting of inertial ions and two electron populations at different temperatures obeying a kappa distribution is used to investigate the phase shifts of the Korteweg-de Vries (KdV) solitons, collision phenomena, and formation of force KdV (FKdV) solitons in the presence of an external periodic force and the time fractional (TF) KdV (TFKdV) solitons of first- and second-order approximate, as well as the formation of electric field structures in the Earth’s magnetosheath region. The KdV phase shifts due to the head-on collision of ion-acoustic waves (IAWs) are derived using the extended Poincaré-Lighthill-Kuo (ePLK) technique. The KdV equation is subsequently converted into a TFKdV equation by following the process of El-Wakil et al. (El-Wakil S A, Abulwafa E M, Zahran M A, Mahmoud A A. Nonlinear Dyn 2011; 65: 55) for right-traveling IAWs. By adding a source term with strength to the KdV equation, the FKdV equation is determined for right-traveling IAWs. Due to the effects of the relevant parameters in the mentioned environment, compressive (hump-shaped) and rarefactive (dip-shaped) FKdV solitons are formed, together with positive and negative phase shifts. Here, only a positive phase shift is studied. The FKdV ion-acoustic solitons follow the superposition principle in the collision processes. The rarefactive and compressive (dip-shaped and hump-shaped) electric field structures are produced due to the effects of traveling wave velocity and the TF parameter.
