Abstract The nonlinear equation is obtained describing the dynamics of wave structures in dusty plasma above illuminated surface Moon case low frequencies and pancake-like shape packet direction along external magnetic field. This modified Zakharov – Kuznetsov equation. analytical formula for one-dimensional soliton solution derived. analysis stability was performed.

The Zakharov-Kuznetsov equation governs the behaviour of weakly nonlinear ion-acoustic waves in a plasma comprising cold ions and hot isothermal electrons in the presence of a uniform magnetic eld. We consider the more realistic situation in which the electrons are non-isothermal. With an appropriate modiied form of the electron number density proposed by Schamel (1973), we show that the reduct...