Formation of electrostatic solitary and periodic waves in dusty plasmas in the light of Voyager 1 and 2 spacecraft and Freja satellite observations

Motivated by the observations of Voyager 1 and 2 spacecraft Freja satellite in Saturn’s magnetosphere, formation dust-acoustic (DA) localized periodic waves a complex plasma having superthermal electrons ions are reported. In this regard, modified Kadomtsev–Petviashvili (mKP) equation is derived employing weak turbulence theory for studying characteristics nonlinear (DAWs) model under consideration. The wave solutions to mKP using ansatz method terms Jacobi elliptic functions (JEFs). It reported that phase velocity DAWs magnetosphere lower kappa distributed comparison with regions space plasmas where follow Maxwellian distribution. conditions existence both also presented. Estimates given spatial scales over which solitary/periodic structures form magnetosphere.