Compatibility, Multi-brackets and Integrability of Systems of PDEs

被引：0

作者：

Boris Kruglikov

Valentin Lychagin

机构：

[1] University of Tromsø,Institute of Mathematics and Statistics

来源：

Acta Applicandae Mathematicae | 2010年 / 109卷

关键词：

Multi-brackets; Jacobi-Mayer bracket; Spencer cohomology; Koszul homology; Buchsbaum-Rim complex; Integral; Characteristics; System of PDEs; Symbols; Compatibility; 35N10; 58A20; 58H10; 35A30;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We establish an efficient compatibility criterion for a system of generalized complete intersection type in terms of certain multi-brackets of differential operators. These multi-brackets generalize the higher Jacobi-Mayer brackets, important in the study of evolutionary equations and the integrability problem. We also calculate Spencer δ-cohomology of generalized complete intersections and evaluate the formal functional dimension of the solutions space. The results are used to establish new integration methods.

引用

页码：151 / 196

页数：45

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