Local analyticity of solutions in the Painleve test

JS Hu; M. Yan

Local analyticity of solutions in the Painleve test

The Hong Kong University of Science and Technology

Research output: Contribution to conference › Conference Paper › peer-review

Abstract

In this paper, we demonstrate that passing the Painleve test has important analytical consequences. In particular, a singular version of the Cauchy theorem holds. This implies that the formal Laurent series solution is always convergent, which justifies the test itself. We unveil that equations passing the Painleve test actually define a parallel flow under different but well-defined coordinates.

Original language	English
Publication status	Published - 2000
Event	PROCEEDINGS OF THE WORKSHOP ON NONLINEARITY, INTEGRABILITY AND ALL THAT: TWENTY YEARS AFTER NEEDS '79 - Duration: 1 Jan 2000 → 1 Jan 2000

Conference

Conference	PROCEEDINGS OF THE WORKSHOP ON NONLINEARITY, INTEGRABILITY AND ALL THAT: TWENTY YEARS AFTER NEEDS '79
Period	1/01/00 → 1/01/00

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https://hdl.handle.net/1783.1/38276

Cite this

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title = "Local analyticity of solutions in the Painleve test",

abstract = "In this paper, we demonstrate that passing the Painleve test has important analytical consequences. In particular, a singular version of the Cauchy theorem holds. This implies that the formal Laurent series solution is always convergent, which justifies the test itself. We unveil that equations passing the Painleve test actually define a parallel flow under different but well-defined coordinates.",

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year = "2000",

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AU - Hu, JS

AU - Yan, M.

PY - 2000

Y1 - 2000

N2 - In this paper, we demonstrate that passing the Painleve test has important analytical consequences. In particular, a singular version of the Cauchy theorem holds. This implies that the formal Laurent series solution is always convergent, which justifies the test itself. We unveil that equations passing the Painleve test actually define a parallel flow under different but well-defined coordinates.

AB - In this paper, we demonstrate that passing the Painleve test has important analytical consequences. In particular, a singular version of the Cauchy theorem holds. This implies that the formal Laurent series solution is always convergent, which justifies the test itself. We unveil that equations passing the Painleve test actually define a parallel flow under different but well-defined coordinates.

UR - https://www.webofscience.com/wos/woscc/full-record/WOS:000089034500020

M3 - Conference Paper

T2 - PROCEEDINGS OF THE WORKSHOP ON NONLINEARITY, INTEGRABILITY AND ALL THAT: TWENTY YEARS AFTER NEEDS '79

Y2 - 1 January 2000 through 1 January 2000

ER -

Local analyticity of solutions in the Painleve test

Abstract

Conference

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