Aspects of the Painlevé property for partial differential equations

M. Tabor; J. D. Gibbon

doi:10.1016/0167-2789(86)90175-2

Aspects of the Painlevé property for partial differential equations

M. Tabor, J. D. Gibbon

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

Abstract

Aspects of the Painlevé property are reviewed. Special attention is paid to the connection with Hirota's method, the formulation of a Painlevé type property suitable for differential-difference equations and certain results concerning the self-dual Yang-Mills equations.

Original language	English (US)
Pages (from-to)	180-189
Number of pages	10
Journal	Physica D: Nonlinear Phenomena
Volume	18
Issue number	1-3
DOIs	https://doi.org/10.1016/0167-2789(86)90175-2
State	Published - Jan 1986
Externally published	Yes

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics
Condensed Matter Physics
Applied Mathematics

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10.1016/0167-2789(86)90175-2

Cite this

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title = "Aspects of the Painlev{\'e} property for partial differential equations",

abstract = "Aspects of the Painlev{\'e} property are reviewed. Special attention is paid to the connection with Hirota's method, the formulation of a Painlev{\'e} type property suitable for differential-difference equations and certain results concerning the self-dual Yang-Mills equations.",

author = "M. Tabor and Gibbon, {J. D.}",

note = "Funding Information: The authorst hankDr. John Weiss for many valuabled iscussionos ver the years.T hey would also like to acknowledgteh et remendousst imulus, both explicit and implicit, providedb y Martin Kruskal. Michael Tabor is supportedin part by DOE grantD OE-FGO2-84ER1319a0n dan Alfred Sloan researchfe llowship.",

year = "1986",

month = jan,

doi = "10.1016/0167-2789(86)90175-2",

language = "English (US)",

volume = "18",

pages = "180--189",

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AU - Tabor, M.

AU - Gibbon, J. D.

N1 - Funding Information: The authorst hankDr. John Weiss for many valuabled iscussionos ver the years.T hey would also like to acknowledgteh et remendousst imulus, both explicit and implicit, providedb y Martin Kruskal. Michael Tabor is supportedin part by DOE grantD OE-FGO2-84ER1319a0n dan Alfred Sloan researchfe llowship.

PY - 1986/1

Y1 - 1986/1

N2 - Aspects of the Painlevé property are reviewed. Special attention is paid to the connection with Hirota's method, the formulation of a Painlevé type property suitable for differential-difference equations and certain results concerning the self-dual Yang-Mills equations.

AB - Aspects of the Painlevé property are reviewed. Special attention is paid to the connection with Hirota's method, the formulation of a Painlevé type property suitable for differential-difference equations and certain results concerning the self-dual Yang-Mills equations.

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Aspects of the Painlevé property for partial differential equations

Abstract

ASJC Scopus subject areas

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