Dust-ion-acoustic solitary waves in a two-temperature electrons with charge fluctuations in a dusty plasma

The nonlinear structure of small amplitude dust-ion-acoustic (DIA) solitary waves is investigated in a hot magnetized dusty plasma consisting of negative dust grains, positive ions, and two-temperature isothermal electrons. The charge fluctuation dynamics of the dust grains has also been considered. A Korteweg–de Vries (KdV) equation, Modified Korteweg–de Vries (MKdV) equation and Korteweg–de Vries (KdV) type equation at critical densities of ions are derived using a reductive perturbation theory. The effects of two-temperature electrons and external oblique magnetic field on the properties of solitary waves are studied. Such study showed that the presence of a second component of electrons modifies the nature of DIA solitary waves structures. This has an important consequence for the reinterpretation of several astrophysical phenomena involving two-temperature electrons. The present investigation can be relevance to electrostatic solitary structures observed in many cosmic dust–laden plasmas, such as Saturn’s rings.