摘要
研究了Burgers方程的精确解问题.依据Adomian的分解法,对各种类型的非线性算子,构造出Adomian多项式,给出了Burgers方程的具有初始条件的精确解的求解方法,并利用此方法获得了具体初始条件下的Burgers方程的冲击波解和有理解,同时讨论了解的有关性质.研究工作表明该方法具有相当广泛的适应性.
The exact solutions of the Burgers equation is studied on the basis of the decomposition method proposed by Adomian G.Adomian polynomial and the methods of the exact solutions with initial conditions of Burgers equation are given.Shock waves solutions and blow-up solutions with some initial conditions of Burgers equation are obtained by using this method.Some properties of these solutions are discussed in details.The results in this paper show that the method developed can be applied to a broad class of nonlinear equations.
出处
《沈阳工业大学学报》
EI
CAS
2005年第1期118-120,共3页
Journal of Shenyang University of Technology
