Study of lump soliton structures in quantum electron‐positron‐ion magnetoplasma

Abstract Soliton theory is a very efficient and competent way to describe nonlinear features. Using Hirota bilinear method, we have obtained a lump soliton solution of the Kadomstev‐Petviashvili equation which is the reduced canonical form of the collisionless quantum electron‐positron‐ion magnetoplasma system. Due to its wide range of applications, the study of lump soliton structures is very much attractive and important. The amplitude of lump solitons is varied for different system parameters. During the analysis of the features of the lump solitons, it is found that the quantum diffraction parameter ( H e ), statistical temperature ratio ( σ ), positrons number density ( μ p ), magnetic intensity parameter (Ω) have a considerable impact on the lump solitons structures. Compressive as well as rarefactive lump soliton has been found during the investigation.