【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.更多还原

【Abstract】 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.更多还原