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

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.