Multiple lump solutions of the (2+1)‐dimensional Konopelchenko–Dubrovsky equation
Hongcai Ma, Yunxiang Bai, Aiping Deng
Abstract
In this paper, multiple lump solutions of the (2+1)‐dimensional Konopelchenko–Dubrovsky equation are obtained by means of the Hirota bilinear method. With the aid of positive quartic‐quadratic‐functions, we can get the 1‐lump solutions, 3‐lump solutions, and 6‐lump solutions. Via the density plots and three‐dimensional plots, the dynamic properties of multiple lump solutions are discussed by choosing the appropriate parameters. It is expected that our results are valuable for revealing the high‐dimensional dynamic phenomenon of the nonlinear evolution equations.
Topics & Concepts
MathematicsQuartic functionBilinear interpolationQuadratic equationNonlinear systemBilinear formApplied mathematicsMathematical analysisPure mathematicsGeometryStatisticsQuantum mechanicsPhysicsNonlinear Waves and SolitonsNonlinear Photonic SystemsAdvanced Differential Equations and Dynamical Systems