Obliquely propagating nonlinear modes associated with ion-acoustic waves in a magnetized dissipative plasma with trapped electrons

Abstract

A three-component magnetized plasma consisting of inertial positive and negative ions, and non-inertial trapped electrons following the Schamel distribution function, is considered in the presence of wave dissipation factors: collisionality and fluid kinematic viscosity. A nonlinear modified Korteweg-de Vries-Burgers (mKdVB) equation is derived by employing the reductive perturbation approach, and the solitary and shock wave solutions are obtained via the tangent-hyperbolic (tanh) method. The influences of the nonlinear and dispersion coefficients via plasma parameters -the angle of obliqueness, the positive-to-negative ion number density, the negative-to-positive ion mass, the magnitude of the external magnetic field, and dissipation coefficients (arises due to the ion-neutral collision and ion fluid viscosity) on the formation and characteristics of the nonlinear obliquely propagating ion-acoustic solitary, solitonic-shock, and shock waves (monotonic and oscillatory) are theoretically and numerically analyzed. The numerical results might aid in a better understanding of how solitary and shock waves originate and propagate in plasmas with positive and negative ions in the presence of trapped particles.