GENERALIZED SYMMETRIES OF NON-LINEAR PARTIAL-DIFFERENTIAL EQUATIONS

被引：9

作者：

KOSMANNSCHWARZBACH, Y

机构：

[1] Brooklyn College, City University of New York, Brooklyn, 11210, N.Y.

来源：

LETTERS IN MATHEMATICAL PHYSICS | 1979年 / 3卷 / 05期

关键词：

D O I：

10.1007/BF00397213

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We propose a rigorous definition of the generalized infinitesimal symmetries using the notion of k-vector fields, and we derive an algorithm for their determination. We show that Bäcklund transformations between evolution equations are differential operators having prescribed symmetries. © 1979 D. Reidel Publishing Company.

引用

页码：395 / 404

页数：10

共 20 条

[1] GENERALIZATION OF CONCEPT OF INVARIANCE OF DIFFERENTIAL EQUATIONS - RESULTS OF APPLICATIONS TO SOME SCHRODINGER EQUATIONS [J].