How to find the conserved quantities of nonlinear discrete equations
How to find the conserved quantities of nonlinear discrete equations
复制标题
如何求非线性离散方程的守恒量
DOI：
10.1088/0305-4470/34/48/304
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发表时间：
2001
期刊：
影响因子：
--
通讯作者：
H. Yahagi
中科院分区：
文献类型：
--
作者：
R. Hirota;Kinji Kimura;H. Yahagi
简要讨论了非线性常差分方程守恒量的一种求法。该方法基于守恒量由两个因变量多项式之比表示的假设。我们得到了“非谐振子的离散运动方程”和“三阶非线性差分方程”的守恒量。
A method of finding conserved quantities of nonlinear ordinary difference equations is briefly discussed. The method is based on the hypothesis that the conserved quantities are expressed by a ratio of two polynomials of dependent variables. We obtain the conserved quantities of the `discrete equation of motion of an anharmonic oscillator' and `a nonlinear difference equation of third order'.