Exact ion acoustic N solitary waves with variable velocity in inhomogeneous plasma induced by charged space debris

Abstract

We have considered the propagation of nonlinear ion acoustic waves in a weakly inhomogeneous, cold (T i =0), collisionless space plasma in presence of charged space debris objects. The (1+1) dimensional evolution equation for the nonlinear ion acoustic wave is shown to have the form of a forced KdV equation with variable coefficients. The forcing term comes from the orbiting charged space debris and the variable coefficients of the forced KdV equation arise due to the equilibrium plasma quantities that depend on the slowly varying spatial coordinate. We have derived the exact one solitary wave, two solitary wave and then exact N solitary wave solutions of the forced system for some given choices of pinned debris functions where the velocity of the solitary waves varies with the slowly varying spatial coordinate. To the best of our knowledge, these exact, debris induced N solitary wave solutions with variable velocity in inhomogeneous plasma are important and new; hence may generate new ideas on research in this field.