摘要
利用连续方程的不变子空间,研究了Lin-Reissner-Tsien方程和修正的Zabolotskaya-Khokhlov方程在离散情形下的精确解.对于离散方程,在时间变量t连续时,对空间变量x进行离散化.在不变子空间理论下,得到相应方程的有限差分解的低维约化,所得到的新精确解有助于研究这两个方程解的性质.
The exact solutions of Lin-Reissner-Tsien equations and the modified ZabolotskayaKhokhlov equations in discrete case by using invariant subspaces method of continuous equations have been studied.For discrete equations,the basic idea is introduced under the condition that the time-variable t is continuous and the spatial-variables xis discrete.The corresponding lower dimensional reductions of the finite-difference solutions on the invariant subspaces are constructed.The obtained the new solution will be helpful to study the properties of the equations.
出处
《扬州大学学报（自然科学版）》
CAS
北大核心
2016年第1期22-25,共4页
Journal of Yangzhou University：Natural Science Edition
基金
国家自然科学基金资助项目(11201250)
关键词
不变子空间
精确解
离散方程
有限差分
低维约化
invariant subspaces
exact solutions
discrete equations
finite-difference
lower dimensional reductions
