Dynamical study of nonlinear ion acoustic waves in presence of charged space debris at Low Earth Orbital (LEO) plasma region

We consider the nonlinear ion-acoustic wave induced by orbiting charged space debris in plasma environment generated at Low Earth Orbital (LEO) region. The is shown to be governed forced Korteweg-de Vries equation with forcing function dependent on function. For a specific relationship between and wave, KdV turns completely integrable system where obeys definite non-holonomic constraint. A special exact accelerated soliton solution (velocity of changes over time whereas its amplitude remains constant) has been derived for first time. On other hand, solitonic varies time, shape during propagation. Approximate solitary solutions time-varying velocity, have different weak localized functions. Possible applications obtained results physics are stated along future direction research.