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.
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页码：274 / 283
页数：9
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