一类微分-差分方程组的内禀对称和等价群变换
일류미분-차분방정조적내품대칭화등개군변환
Intrinsic symmetries and equivalence group transformations of differential-difference equations
  • 万方数据
    纯粹数学与应用数学 순수수학여응용수학
    PURE AND APPLIED MATHEMATICS
    2013年 1期 82-91 ,共10页

    叶余建%宋军全%沈守枫%庞加富

    협여건%송군전%침수풍%방가부

    内禀对称%等价群变换%微分-差分方程 內稟對稱%等價群變換%微分-差分方程
    내품대칭%등개군변환%미분-차분방정
    intrinsic symmetry%equivalence group transformation%differential-difference equation
    研究一类微分-差分方程组的对称和等价群变换.采取内禀的无穷小算子方法,给出了方程组的内禀对称和等价群变换.为结合抽象Lie 代数结构,给方程完全分类提供了理论基础.
    연구일류미분-차분방정조적대칭화등개군변환.채취내품적무궁소산자방법,급출료방정조적내품대칭화등개군변환.위결합추상Lie 대수결구,급방정완전분류제공료이론기출.
    In this paper, symmetries and equivalence group transformations of differential-difference equations are considered. By means of intrinsic infinitesimal operator method, intrinsic symmetries and equivalence group transformations are given out. These results provide the theoretical basis for group classification of equations with abstract Lie algebraic structures.
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