广义(3+1)维KP方程的精确有理解  

Exact Rational Solutions of Generalized(3+1)-dimensional KP Equation

作　　者：胡英武[1] HU Yingwu(Jinhua Polytechnic,Jinhua 321017,China)

机构地区：[1]金华职业技术学院,浙江金华321017

出　　处：《金华职业技术学院学报》2023年第6期70-73,共4页Journal of Jinhua Polytechnic

摘　　要：利用Hirota方法及Maple,得到了一类带9个二阶导数项的(3+1)维KP方程的精确有理解。在一定条件下,方程有lump型解,解中有八个自由参数,在特定参数下,通过定量与作图分析给出了解的数值模拟。Using the Hirota bilinear formulation and Maple,we constructed exact rational solutions for the generalized(3+1)-dimensional KP(Kadomtsev-Petviashvili)equations with nine second derivative terms.Under certain conditions,the equation yields a lump-type solution featuring eight free parameters.Numerical simulation of the solution,based on these specific parameters,were performed through both quantitative and graphical analysis.

关 键 词：广义(3+1)维KP方程 HIROTA方法 有理解 lump型解 

分 类 号：O175.24[理学—数学]