The ionization source model is considered, for the first time, to study the combined effects of trapped electrons, transverse perturbation, ion streaming velocity, and dust charge fluctuations on the propagation of dust-ion-acoustic solitons in dusty plasmas. The solitary waves are investigated through the derivation of the damped modified Kadomtsev–Petviashivili equation using the reductive perturbation method. Conditions for the formation of solitons as well as their properties are clearly explained. The relevance of our investigation to supernovae shells is also discussed.

Effects of superthermal electron on the features of nonlinear acoustic waves in unmagnetized collisionless ion pair plasma with superthermal electrons have been examined. The system equations are reduced in the form of the nonlinear Schrodinger equation. The rogue wave characteristics dependences on the ionic density ratio (ν = n–0/n+0), ionic mass ratio (Q = m+/m−), and superthermality index (κ) are investigated. It is worth mentioning that the results present in this work could be applicable in the Earth's ionosphere plasmas.

Wave properties of damped solitons in a collisional unmagnetized four-component dusty fluid plasma system containing nonthermal distributed electrons, mobile ions and negative-positive dusty grains have been examined. To study dissipative DIA mode properties, a reductive perturbation analysis is used under convenient geometrical coordinate transformation, a three dimensionally damped Kadomtsev–Petviashvili equation 3D-CDKP in cylindrical coordinates is obtained. The effects of electron nonthermality and collisional parameters on damped soliton pulse structures are studied. More specifically, the coordinate impact of axial, radial and polar with the time on solitary propagation are examined. This investigation may be viable in plasmas of the Earth’s mesosphere.