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Multiple soliton, M-lump and interaction solutions to the (3+1)-dimensional soliton equation

Hajar F. Ismael, Tukur Abdulkadir Sulaıman, Harivan R. Nabi, Nehad Ali Shah, Thongchai Botmart

2023Results in Physics28 citationsDOIOpen Access PDF

Abstract

One of the most effective ways to understand nonlinear quantum systems is with lump solutions. The objective of this study is to acquire more about the (3+1)-dimensional soliton equation. We successfully present this equation with various solitons and M-lump solutions. We adopt specific parameter values to accentuate the physical features of the provided exact solutions through 3D and contour plots as doing so is of extreme significance. The submitted results indicate the physical qualities of lump-and-lump interaction events in various nonlinear physical processes.

Topics & Concepts

SolitonNonlinear systemQuantumPhysicsKadomtsev–Petviashvili equationContour lineClassical mechanicsStatistical physicsMathematical physicsQuantum mechanicsBurgers' equationMeteorologyNonlinear Waves and SolitonsNonlinear Photonic SystemsAdvanced Fiber Laser Technologies