Studies on Ion-Acoustic Solitary Waves in Plasmas with Positrons and Two-Temperature Superthermal Electrons through Damped Zakharsov-Kuznetsov-Burgers Equation

Propagation of ion-acoustic compressive and rarefactive solitary waves has been studied in a magnetized collisional plasma comprising ions, positrons, dust grains, and kappa-distributed cold and hot electrons. The Damped Zakharsov-Kuznetsov-Burgers (DZKB) equation has been formed using the basic equation with the aid of the reductive perturbation method (RPM). Considering small dissipation exists in the plasma environment, a small amplitude solitary wave solution of the DZKB equation has been derived assuming the validity of conservation law in that nonlinear system. Amplitude and width of the solution strongly depend on the nonlinear and dispersion coefficients of the evolution equation, which are the functions of different plasma parameters, the kinematic viscosity, collisional frequency, ratio of the temperatures of cold and hot electrons, density ratio of cold electrons, concentration of positron particles and concentration of dust particles, and however a significant dependency of the solution on the Burgers and damping term is also found. On the other hand in many times, the dusty plasma becomes strongly dissipative, and naturally, conservation law fails in the system. In general, strong dissipation generates shock waves which becomes a further study through a new solution derived using the extended tanh method. Finally, the parametric studies of solitary solutions are described from a numerical standpoint.