MASTER SYMMETRIES FOR DIFFERENTIAL-DIFFERENCE EQUATIONS OF THE VOLTERRA TYPE

被引：49

作者：

CHERDANTSEV, IY

YAMILOV, RI

机构：

[1] Ufa Institute of Mathematics, Russian Academy of Sciences, 450000 Ufa

来源：

PHYSICA D | 1995年 / 87卷 / 1-4期

关键词：

D O I：

10.1016/0167-2789(95)00167-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It is demonstrated that in the case of integrable differential-difference equations similar to the well-known Volterra equation (unlike the Korteweg-de Vries and nonlinear Schrodinger equations) there are many instances in which local master symmetries can be found. Those master symmetries are new interesting examples of local evolution chains explicitly depending on the time and discrete variable and integrable in a special sense. The examples are constructed by a direct and elementary approach which enables one to get new integrable equations, using Miura type transformations.

引用

页码：140 / 144

页数：5