可作为Bcklund变换的微分差分方程

Differential-difference Equations as Bcklund Transformation

  • 摘要: 主要研究通过变换求解非线性演化方程的途径.首先从一个连续的谱问题出发,借助于Lax对的非线性方法,推导出连续的非线性演化方程,然后应用谱问题的相容性,构造了两个非线性微分差分方程,这两个非线性微分差分方程正好是一个连续的非线性演化方程的Ba¨cklund变换.

     

    Abstract: Through nonlinearization technique,a continous nonlinear evolution equation is derived from the continuous eigenvalue problem,and two differential difference equations are constructed with the help of the compatibility of eigenlalue problen,these equations can be viewed as B(a)¨cklund transformations of the nonlinear evolution equation.

     

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