位势Burgers方程的自相似解和行波解  

The self-similar solution and travelling wave solution of potential Burgers equation

作　　者：林府标 张千宏 LIN Fu-biao;ZHANG Qian-hong(School of Mathematics and Statistics,Guizhou University of Finance and Economics,Guiyang 550025,China)

机构地区：[1]贵州财经大学数统学院,贵州贵阳550025

出　　处：《东北师大学报（自然科学版）》2018年第4期48-50,共3页Journal of Northeast Normal University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(11761018;11361012);贵州省教育厅青年科技人才成长项目(黔教合KY字[2017]150);贵州财经大学科研基金资助项目(2018XYB04)

摘　　要：研究了位势Burgers方程的自相似解和行波解.找到了位势Burgers方程所接受的伸缩变换群,从而找到了该方程的自相似解.利用函数变换法把非线性二阶偏微分方程——位势Burgers方程转化成Bernoulli方程,且求出了位势Burgers方程的行波解.The scaling group admitted by potential Burgers equation is found,moreover the self-similar solution to potential Burgers equation is also given.On the other hand,the nonlinear second-order partial differential equation-potential Burgers equation is converted to Bernoulli equation by using function transformation method,finally the travelling wave solution of potential Burgers equation is presented.

关 键 词：位势Burgers方程 BERNOULLI方程 自相似解 行波解 

分 类 号：O29[理学—应用数学]