Abstract
We can model a dusty plasma as a multispecies plasma, neglecting density and momentum losses and gains for the plasma electrons and ions, provided the dust charging is slow and hence the grain charges can be treated as constant.It is well known that nonlinear waves in multispecies plasmas give rise to soliton structures. For electromagnetic waves propagating parallel to an ambient magnetic field a derivative nonlinear Schrödinger equation is obtained, while for perpendicular and oblique electrostatic and electromagnetic modes the situation is adequately described by a Korteweg–de Vries equation.The localized solutions of these equations are used to analyze the width and height of the structures for a monosized dusty plasma. In reality however, different dust sizes coexist, and this affects the modes on the linear level. The influence on the nonlinear description is examined, and possible astrophysical applications as planetary rings, cometary environments and a dusty interstellar medium are discussed.
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