Dynamics of electrostatic waves in multi species plasmas

Abstract

In this study, several highly exciting theoretically constructed hydrodynamic plasma models with several components that are commonly observed in laboratory and space plasmas have been developed. The properties of nonlinear waves for a range of acoustic modes were investigated using computational knowledge. The study has focused on the nonlinear dynamics of both magnetized and unmagnetized plasma systems for acoustic modes. To achieve this, nonlinear partial differential equations such as the Kortweg De-Vries equation, modified Kortweg De-Vries equation, Kortweg De-Vries-Burger equation, Boussinesq equation, time-fractional Boussinesq equation, etc. have been derived using perturbation technique for the small amplitude limit of the plasma waves. For nonlinear waves with arbitrary amplitude, the pseudopotential formalism was employed to obtain solitary, double layer, and super solitary wave solutions. Furthermore, the dynamical system is formulated mathematically to examine the quasi-periodic and chaotic wave motions. The creation of dust ion acoustic shock wave structure in a complex plasma system with electrons of two distinct temperatures commonly observed in cometary tails and planetary rings is discovered to be influenced by the kinematic viscosity of inertial ions. However, other studies indicate that the super soliton and double layer can coexist in an electron-positron-ion plasma system, which is typically observed in neutron stars, active galactic nuclei, and other similar systems. In addition to this, observation indicating that phase velocity can regulate the creation of double layer, flat-top soliton, and super soliton structures is noted. A plasma hydrodynamic model was created based on a phenomenon the nonlinear ion-acoustic wave excitation resulting from Martian ionospheric plasma loss which directly benefits space research on the solar planetary environment. In another study, a degenerate plasma model is also considered by us to examine the nature and stability condition of the arbitrary amplitude