On the Integrability Conditions for Some Structures Related to Evolution Differential Equations

P. Kersten; I. Krasil'shchik; A. Verbovetsky

doi:10.1023/B:ACAP.0000035595.97859.5d

On the Integrability Conditions for Some Structures Related to Evolution Differential Equations

P. Kersten, I. Krasil'shchik, A. Verbovetsky

Research output: Contribution to journal › Article › Academic

10 Citations (Scopus)

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Abstract

Using the result by D. Gessler, we show that any invariant variational bivector (resp., variational 2-form) on an evolution equation with nondegenerate right-hand side is Hamiltonian (resp., symplectic).

Original language	English
Pages (from-to)	167-173
Journal	Acta applicandae mathematicae
Volume	83
Issue number	1-2
DOIs	https://doi.org/10.1023/B:ACAP.0000035595.97859.5d
Publication status	Published - 2004

Keywords

Evolution equations
Hamiltonian structures
Symplectic structures
Integrability

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10.1023/B:ACAP.0000035595.97859.5d

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title = "On the Integrability Conditions for Some Structures Related to Evolution Differential Equations",

abstract = "Using the result by D. Gessler, we show that any invariant variational bivector (resp., variational 2-form) on an evolution equation with nondegenerate right-hand side is Hamiltonian (resp., symplectic).",

keywords = "Evolution equations, Hamiltonian structures, Symplectic structures, Integrability",

author = "P. Kersten and I. Krasil'shchik and A. Verbovetsky",

year = "2004",

doi = "10.1023/B:ACAP.0000035595.97859.5d",

language = "English",

volume = "83",

pages = "167--173",

journal = "Acta applicandae mathematicae",

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T1 - On the Integrability Conditions for Some Structures Related to Evolution Differential Equations

AU - Kersten, P.

AU - Krasil'shchik, I.

AU - Verbovetsky, A.

PY - 2004

Y1 - 2004

N2 - Using the result by D. Gessler, we show that any invariant variational bivector (resp., variational 2-form) on an evolution equation with nondegenerate right-hand side is Hamiltonian (resp., symplectic).

AB - Using the result by D. Gessler, we show that any invariant variational bivector (resp., variational 2-form) on an evolution equation with nondegenerate right-hand side is Hamiltonian (resp., symplectic).

KW - Evolution equations

KW - Hamiltonian structures

KW - Symplectic structures

KW - Integrability

U2 - 10.1023/B:ACAP.0000035595.97859.5d

DO - 10.1023/B:ACAP.0000035595.97859.5d

M3 - Article

SN - 0167-8019

VL - 83

SP - 167

EP - 173

JO - Acta applicandae mathematicae

JF - Acta applicandae mathematicae

IS - 1-2

ER -

On the Integrability Conditions for Some Structures Related to Evolution Differential Equations

Abstract

Keywords

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