Nonextensive Effect on the Lump Soliton Structures in Dusty Plasma

We examine the lump structures of the Kadomtsev-Petviashvili (KP) equation in a collisionless magnetised plasma system consisting of ions, nonextensive electrons, and dust grains using a well-known technique known as the Hirota Bilinear Method (HBM). Soliton theory is a useful tool for illustrating the qualitative behaviours of nonlinearity, which has applications in several fields across the globe. Hence, lump solitons are highly relevant and captivating. We have seen that the linked properties of the plasma system cause differences in lump formations. Furthermore, it is discovered that the lump features are significantly altered by the nonextensive parameter.