The attributes of the dust-acoustic solitary and periodic structures in the Saturn's inner magnetosphere.

This article investigates the nonlinear characteristics of dust-acoustic (DA) solitary and periodic waves in an unmagnetized dusty plasma composed of Maxwellian ions and superthermal two-temperature electrons following kappa distributions, with application to Saturn’s inner magnetosphere. Using the reductive perturbation technique, the Kadomtsev–Petviashvili (KP) and modified KP (mKP) equations are derived to describe wave evolution, where the KP equation admits only rarefactive solitary waves, while the mKP equation supports both compressive and rarefactive solitary waves under a critical plasma condition. Quantitative analysis via the Jacobi elliptic function expansion method and qualitative study through dynamical system approaches reveal that the amplitude and width of DA solitary and periodic structures decrease with increasing radial distance from Saturn, and that variations in the kappa spectral index and electron density significantly affect wave properties. The findings provide insight into nonlinear wave behavior in Saturn’s magnetosphere, where superthermal electrons and negatively charged dust grains have been observed by spacecraft missions.