Propagation of different types of nonlinear dust-acoustic waves in dusty plasma in Jupiter's magnetosphere: a bifurcation analysis

Abstract

Dusty plasma, composed of charged dust grains, electrons and ions, plays a fundamental role in both space and laboratory environments. Understanding nonlinear wave propagation in such plasma is essential for studying complex plasma behaviour. In this paper, we consider the excitation of three-dimensional dust-acoustic waves in a five-component dusty plasma system consisting of positively charged dust grains, solar wind-driven electrons and ions and Maxwell–Boltzmann-distributed species. Using the reductive perturbation technique, we reduced the governing hydrodynamic and Poisson equations to the KP equation. We derived analytical KP equation solutions using direct integration, factorization and bilinear methods. The results revealed novel wave structures, including solitary and explosive pulses, shock-like waves, and lump waves, in dusty plasma. This study highlights the importance of analytical techniques for solving nonlinear partial differential equations (PDEs) in plasma physics, notably contributing to understanding the behaviour of dust-acoustic waves, with implications for planetary magnetospheres such as Jupiter.