Research of lump dynamics on the (3+1)-dimensional B-type Kadomtsev–Petviashvili–Boussinesq equation
Zhiqiang Lei, Jian‐Guo Liu, Hadi Rezazadeh, Mostafa M. A. Khater
Abstract
In this paper, we discuss the interaction of the rational function, hyperbolic as well as exponential function for the (3+1)-dimensional B-type Kadomtsev–Petviashvili–Boussinesq equation with the aid of Hirota’s bilinear approach. We find several families of lump-type solutions. This method is a powerful and advantageous mathematical tool for establishing abundant lump solutions of nonlinear partial differential equations. In order to illustrate their dynamic properties, some figures are plotted with determined parameters.
Topics & Concepts
Bilinear interpolationType (biology)Bilinear formNonlinear systemExponential functionMathematicsPartial differential equationKadomtsev–Petviashvili equationRational functionHyperbolic functionFunction (biology)Applied mathematicsMathematical analysisOrder (exchange)PhysicsBurgers' equationGeologyBiologyPaleontologyQuantum mechanicsFinanceStatisticsEvolutionary biologyEconomicsNonlinear Waves and SolitonsAlgebraic structures and combinatorial modelsFractional Differential Equations Solutions