Impact of magnetic field on dust and ion-acoustic solitary profile in dusty plasma

The study of dust and ion-acoustic solitary wave profile involves understanding the formation and propagation of solitary waves in dusty plasma, where the motion of dust and ions has been taken into account together. Thus, the positively charged ions and negatively charged relatively lighter dust are considered mobile with Maxwellian electrons. The reductive perturbation method has been employed to derive the Korteweg-de-Vries (KdV) equation for studying the dust and ion-acoustic solitary profile. The nonlinearity and dispersion coefficients are modified by considering the dust particles’ mobility with ions; thus, both the amplitude and width of the dust and ion-acoustic solitary waves deviate from dust-ion-acoustic waves. The impact of a magnetic field on dust and ion-acoustic solitary wave propagation in dusty plasma involves delving into the interactions of charged particles. Moreover, the magnetic field significantly influences the dynamics and behavior of these particles, affecting their collective phenomena and wave formations. It introduces complexities in the wave profiles, potentially altering their characteristics, velocities, and spatial profiles.