广义变系数五阶Korteweg-de Vries方程的lump解  

Lump solutions of generalized variable-coefficient fifth-order Korteweg-de Vries equation

作　　者：万亮 WAN Liang(YuZhang Normal University,Nanchang 330103,China)

机构地区：[1]豫章师范学院,江西南昌330103

出　　处：《南昌大学学报（理科版）》2019年第6期524-527,共4页Journal of Nanchang University(Natural Science)

基　　金：江西省教育科学“十二五”规划课题(15YB200)。

摘　　要：Korteweg-de Vries方程在浅水波、分层内波、离子声波、等离子体物理和晶格动力学等领域都有很重要的应用。本文研究的是广义变系数五阶Korteweg-de Vries方程。在符号计算软件和贝尔多项式的帮助下,获得广义变系数五阶Korteweg-de Vries方程的Hirota双线性形式和一些新的lump解,并通过一些三维图形和等高线图形演示了lump解的传播特点。The Korteweg-de Vries equation has important applications in shallow water waves,stratified internal waves,ion acoustic waves,plasma physics,and lattice dynamics.This paper studies the generalized variable coefficient fifth-order Korteweg-de Vries equation.With the help of symbolic calculation software and Bell polynomial,the Hirota bilinear form of the generalized variable coefficient fifth-order Korteweg-de Vries equation and some new lump solutions are obtained,and the characteristics of the spread for obtained lump solution is demonstrated by some three-dimensional graphics and contour graphs.

关 键 词：KORTEWEG-DE Vries方 贝尔多项式 lump解 变系数 

分 类 号：J35[艺术—美术] Q51[生物学—生物化学]