Nonextensive Effect on the Lump Soliton Structures in Dusty Plasma

TL;DR

This paper investigates how nonextensive statistics influence the formation and characteristics of lump solitons in a dusty plasma system using the Hirota Bilinear Method, revealing parameter-dependent variations in lump structures.

Contribution

It introduces the impact of nonextensive electrons on lump soliton structures within the KP equation framework in dusty plasma, employing the Hirota Bilinear Method.

Findings

Nonextensive parameter significantly alters lump soliton features.

Lump structures vary with plasma parameters.

Hirota Bilinear Method effectively analyzes lump solutions.

Abstract

In this paper, we use a very prominent technique, Hirota Bilinear Method (HBM) to survey the lump structures of the Kadomtsev-Petviashvili (KP) equation in the frame of a collisionless magnetized plasma system composed of dust grains, ions, and nonextensive electrons. Nonlinearity has worldwide applications, and soliton theory is a powerful appliance to illustrate its qualitative behaviors. So, lump solitons are very significant and also interesting. We have observed that lump structures differ due to the correlated parameters of the plasma system. It has also been found that the nonextensive parameter crucially changes the lump features.