Burgers方程及广义Burgers方程的精确解  

Exact Solutions of Burgers Equation and Generalized Burgers Equation

作　　者：蒋桂凤 JIANG Gui-feng(School of Electronics and Information Engineering(School of Big Data Science),Taizhou University,Linhai Zhejiang 317000,China)

机构地区：[1]台州学院电子与信息工程学院(大数据学院)

出　　处：《大学数学》2019年第4期100-103,共4页College Mathematics

基　　金：浙江省教育科学规划2019年度重点课题(2019SB086);台州市教育科学规划研究重点课题(gz19003)

摘　　要：求解非线性偏微分方程,一般是比较困难的,所以寻求非线性偏微分方程的精确解是一个重要的课题.Burgers方程是非线性偏微分方程中重要的方程,选取适当的函数,把求解偏微分方程的问题转化为常微分方程或代数方程的问题,再直接求解,同时简洁地求得了Burgers方程及广义Burgers方程的一些全新的精确解.Generally,it is difficult to solve nonlinear partial differential equations,so it is an important subject to find the Exact solution of the nonlinear partial differential equation.Burgers equation is an important equation in nonlinear partial differential equation.By using the trial function method and choosing appropriate function transformation,the problem of solving partial differential equation is transformed into the problem of ordinary differential equation or algebraic equation.Some new exact solutions of Burgers equation and generalized Burgers equation are obtained concisely.

关 键 词：偏微分方程 BURGERS方程 广义BURGERS方程 试探函数 精确解 

分 类 号：O175.1[理学—数学]