An Effective Algorithm for Finding Multidimensional Conservation Laws for Integrable Systems of Hydrodynamic Type

被引：0

作者：

Z. V. Makridin

机构：

[1] Novosibirsk State University,

[2] Lavrentyev Institute of Hydrodynamics RAS,undefined

来源：

Theoretical and Mathematical Physics | 2018年 / 194卷

关键词：

integrable system; overdetermined system; hydrodynamic Benney chain; Kadomtsev–Petviashvili equation; three-dimensional conservation law;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We study a new property of integrable systems, the existence of infinitely many local three-dimensional conservation laws for pairs of integrable two-dimensional hydrodynamic chains. We describe an effective algorithm for successively computing an infinite set of three-dimensional conservation laws for the Benney pair of commuting flows.

引用

页码：274 / 283

页数：9

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