The dynamical behavior of mixed type lump solutions on the (3 + 1)-dimensional generalized Kadomtsev–Petviashvili–Boussinesq equation
Jian‐Guo Liu, Mostafa Eslami, Hadi Rezazadeh, Mohammad Mirzazadeh
Abstract
Abstract This paper studies the (3 + 1)-dimensional generalized Kadomtsev–Petviashvili–Boussinesq (KPB) equation via the Hirota’s bilinear form and symbolic computation. Mixed type lump solutions are presented, which include rational function, trigonometric function and hyperbolic function. The propagation and the dynamical behaviors of these mixed type of lump solutions are shown by some three-dimensional and contour plots.
Topics & Concepts
MathematicsBilinear formHyperbolic functionBilinear interpolationTrigonometric functionsType (biology)Mathematical analysisFunction (biology)Contour lineRational functionTrigonometryApplied mathematicsPhysicsGeometryGeologyEvolutionary biologyBiologyStatisticsPaleontologyMeteorologyNonlinear Waves and SolitonsAlgebraic structures and combinatorial modelsFractional Differential Equations Solutions