(3+1)维变系数Kadomtsev-Petviashvili方程的lump解

Lump solutions of (3+1)-dimensional Kadomtsev-Petviashvili equation with variable coefficients

变系数Kadomtsev-Petviashvili方程经常用来描述流体力学中具有弱非线性、弱色散和弱扰动的长波和小振幅面波。本文利用Hirota双线性形式和符号计算软件Mathematica,获得了(3+1)维变系数Kadomtsev-Petviashvili方程一些新的lump解,利用一些三维图形分析了这些解的动力学行为。

The Kadomtsev-Petviashvili equation with variable coefficients is often used to describe long and small amplitude surface waves with weak nonlinearity,weak dispersion and weak perturbation in fluid mechanics.In this paper,some new lump solutions of the(3+1) dimensional Kadomtsev-Petviashvili equation with variable coefficients are obtained by using Hirota bilinear form and symbolic calculation software Mathematica.The dynamic behavior of these solutions is analyzed by using some three-dimensional graphs.