摘要
引入一个变换,将二阶非线性偏微分方程—Burgers方程降阶为一阶的非线性方程,再直接求解该方程,得出了Burgers方程精确解的新形式,并与已有结果完全吻合.这种方法也适合于求解其他非线性偏微分方程.
By introducing a new transformation, a nonlinear second - order partial differential equation--Burgers equation can be converted to a nonlinear first -order equation, which can be solved directly. Furthermore, the new exact analytical solutions of the Burgers equation can be derived, and the results obtained are in good agreement with those given in other papers. This method can also be used to solve other nonlinear partial differential equations.
出处
《动力学与控制学报》
2006年第4期308-311,共4页
Journal of Dynamics and Control
基金
国家自然科学基金资助项目(10472029)~~
关键词
非线性偏微分方程
BURGERS方程
精确解
nonlinear partial differential equations, Burgers equation, exact solution
