摘要
讨论偏微分方程组的约化问题，提出规范型及约化方法．对规范型给出形式级数解的求法及求有限阶Tavlor展式的算法．这些算法有助于克服数值求解大型约束方程组中遇到的某些困难．用于处理各种对称的确定方程组，可获得非线性微分方程的某些精确解．
A normal form of partial differential equations is proposed and a method to reduce asystem of equations to the normal form is given. For the normal form, the algorithms ofdetermining formal series solutions and Taylor expansion formula are given too. These algorithmsare useful to deal with large scale equations, especially determining equations of any kind ofsymmetries, by which some exact solutions may be derived.
出处
《大连理工大学学报》
CAS
CSCD
北大核心
1999年第2期137-143,共7页
Journal of Dalian University of Technology
基金
国家自然科学基金!19572022
"九五"攀登预选项目
博士点基金
