Application of the polynomial function method to the variable-coefficient Kadomtsev–Petviashvili equation

Abstract

In this paper, we research a (2+1)-dimensional variable-coefficient Kadomtsev–Petviashvili equation in fluid dynamics and plasma physics. The lump, lump-soliton and lump-periodic solutions are derived based on the variable-coefficient polynomial function method. The effect of variable coefficients on the amplitude and velocity of solitons is analyzed and shown by some 3D graphs, contour plots and density graphs.

Keywords

• Kadomtsev–Petviashvili equation
• Polynomial function method
• Fluid mechanics
• Lump-soliton solution
• Lump-periodic solution