الفهرس 
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Abstract
The properties of nonlinear dust ion acoustic waves in a four-component dusty plasma consisting of nonthermal distributed electrons, ions, negative and positive dust grains have been investigated. For Maxwellian distributed electrons, the basic set of fluid equations is reduced to a nonlinear Schrodinger equation via the derivative-expansion method. The conditions on the coefficients of dispersion and nonlinear terms of this equation have been checked for both stable and unstable regions in this system. It is found that the negative sign for the product of coefficients of dispersion and nonlinear terms is necessary for the modulational stability of the waves while positive sign allows the growing of the amplitude and consequently a possiblity for a very huge wave to be created. Accordingly, the modulational instability, modulational instability growth rate and the rational solution for rogue waves are discussed.
For non-Maxwellian distributed electrons (nonthermal and superthermal), the dependence of the physical characteristics of modulational instability, modulational instability growth rate and rogue waves amplitude on the various parameters such as the population of non-thermal (superthermal) electrons, unperturbed number densities ratio, normalized ion to negative dust mass ratio, normalized ion to positive dust mass ratio, normalized charge number of positive dust and normalized charge number of negative dust is investigated.
In a three-dimentional problem and with a suitable coordinate transformation in the reductive perturbation theory, a three- dimensional cylindrical Kadomtsev-Petviashvili (3D-CKP) equation is obtained by reducing the system of the basic equation describing the system. The effect of dusty plasma parameters on the cylindrical solitary properties is investigated. Furthermore, the solitary profile in the radial, axial, and polar angle coordinates with the time is examined. The present investigation may be applicable in space plasma region such as mesosphere. It is found that, the unperturbed number densities ratio, normalized ion to negative dust mass ratio, normalized ion to positive dust mass ratio, normalized charge number of positive dust and normalized charge number of negative dust would have strong effect on the properties of of the dust-ion-acoustic modulational instability and envelope solitons. The results presented here could be helpful for understanding of dust-ion-acoustic modulational instability features and the cylindrical solitary waves in dusty plasma of mesosphere.