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

Z. V. Makridin

doi:10.1134/S0040577918020071

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

Z. V. Makridin

Laboratory for Nonlinear Processes in Hydrodynamic Systems

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	274-283
Number of pages	10
Journal	Theoretical and Mathematical Physics(Russian Federation)
Volume	194
Issue number	2
DOIs	https://doi.org/10.1134/S0040577918020071
Publication status	Published - 1 Feb 2018

Keywords

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

Access to Document

10.1134/S0040577918020071

Link to publication in Scopus

Cite this

@article{7888323c5f2645b3acf23f542fe89ad0,

title = "An Effective Algorithm for Finding Multidimensional Conservation Laws for Integrable Systems of Hydrodynamic Type",

abstract = "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.",

keywords = "hydrodynamic Benney chain, integrable system, Kadomtsev–Petviashvili equation, overdetermined system, three-dimensional conservation law",

author = "Makridin, {Z. V.}",

year = "2018",

month = feb,

day = "1",

doi = "10.1134/S0040577918020071",

language = "English",

volume = "194",

pages = "274--283",

journal = "Theoretical and Mathematical Physics(Russian Federation)",

issn = "0040-5779",

publisher = "Springer Singapore",

number = "2",

}

TY - JOUR

T1 - An Effective Algorithm for Finding Multidimensional Conservation Laws for Integrable Systems of Hydrodynamic Type

AU - Makridin, Z. V.

PY - 2018/2/1

Y1 - 2018/2/1

N2 - 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.

AB - 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.

KW - hydrodynamic Benney chain

KW - integrable system

KW - Kadomtsev–Petviashvili equation

KW - overdetermined system

KW - three-dimensional conservation law

UR - http://www.scopus.com/inward/record.url?scp=85053827810&partnerID=8YFLogxK

U2 - 10.1134/S0040577918020071

DO - 10.1134/S0040577918020071

M3 - Article

AN - SCOPUS:85053827810

VL - 194

SP - 274

EP - 283

JO - Theoretical and Mathematical Physics(Russian Federation)

JF - Theoretical and Mathematical Physics(Russian Federation)

SN - 0040-5779

IS - 2

ER -

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

Abstract

Keywords

Access to Document

Fingerprint

Cite this