【摘要】 提出了将差分方程变换成超离散方程的方法,即复变量的广义极大代数.利用此方法对离散傅里叶变换(DFT)进行了超离散化.借助于DFT构造出差分波动方程的解.最后将差分波动方程及其解超离散化并验证解的正确性.更多还原

【Abstract】 A generalized max-plus algebra for complex variables is obtained for discretizing dependent variable of difference equation. This max-plus algebra is applied to the discrete Fourier transformation. Using this method,we can show the ultra-discretization of the discrete wave equation and its solution.更多还原