Simulating Damped Ion Acoustic Solitary Waves from Orbital Debris

Charged space debris induced nonlinear magnetosonic waves using inertial magnetohydrodynamics

“…We have derived a forced KP-II equation (28) as the evolution equation for nonlinear fast magnetosonic waves when θ > θ c in presence of charged space debris particles. As discussed earlier, forcing function due to space debris is of Gaussian nature as reported in [6,7]. However, Sen et al [1] have discussed two exact line solitary wave solutions for their forced KdV equation in (1 + 1) dimensions that have constant amplitude and velocity by using localized forcing debris functions of sech 2 and sech 4 types.…”

“…In our most recent work [4] on space debris, ambient magnetic field in the LEO region is considered analytically to determine debris dynamics in the framework of Hall MHD; where we have detected accelerated magnetosonic lump solutions accompanied with changes in their amplitudes. Therefore, 1D solitary waves generated due to space debris as reported in [1,2,6] are liable to show lump like behaviours in two dimensions. In addition, there can also be possibilities of obtaining planar and ring solitons due to debris as reported in [3,7] that may be associated with special features like bending in spatial dimensions and time-dependent velocities showing accelerating behaviours.…”

“…Recently, the work of Truitt et al [6,7] reveals the fact that forcing debris function is derived to be of Gaussian nature. They have considered both 1D and 2D Gaussian functions representing effects of space debris particles in their work through simulations from forced KdV equation and forced KP equation respectively.…”

“…In this regard, research on dynamics of space debris particles that are ubiquitous in near-Earth space has gained optimum importance during recent times. There have been many theoretical, computational and equivalent experimental investigations of space debris dynamics in near-Earth space plasma environment [1][2][3][4][5][6][7][8][9] done in recent years. The motion of charged space debris and its interaction with the surrounding plasma in ionosphere can give rise to various types of nonlinear structures such as precursors and solitons with electrostatic and electromagnetic characteristics.…”

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

“…Measurement of such waves via in situ processes indirectly shows the existence of centimeter sized debris particles. Generally, the sub-centimeter sized debris particles in the ionospheric plasma are currently undetectable through optical means [10,12]. This work by Sen et al paved the way for a series of research works in this direction like: precursor solitons in a flowing dusty plasma [13][14][15] and their modification due to a change in the experimental set up [16], the existence of precursor magneto-sonic solitons [17] etc.…”