Painlevé expansions for nonintegrable evolution equations

F. Cariello; M. Tabor

doi:10.1016/0167-2789(89)90040-7

Painlevé expansions for nonintegrable evolution equations

F. Cariello, M. Tabor

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

241 Scopus citations

Abstract

The WTC method is applied to a variety of nonintegrable nonlinear evolution equations and shown to provide a systematic procedure for obtaining special solutions. Some of the special techniques developed for integrable systems are also shown to be applicable to nonintegrable equations.

Original language	English (US)
Pages (from-to)	77-94
Number of pages	18
Journal	Physica D: Nonlinear Phenomena
Volume	39
Issue number	1
DOIs	https://doi.org/10.1016/0167-2789(89)90040-7
State	Published - Oct 1 1989
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(89)90040-7

Cite this

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title = "Painlev{\'e} expansions for nonintegrable evolution equations",

abstract = "The WTC method is applied to a variety of nonintegrable nonlinear evolution equations and shown to provide a systematic procedure for obtaining special solutions. Some of the special techniques developed for integrable systems are also shown to be applicable to nonintegrable equations.",

author = "F. Cariello and M. Tabor",

note = "Funding Information: This work is supported by Department of Energy Grant No. DE FG02 84ER13190. M.T. Sloan Research Fellow. The authors thank A.C. Newell for valuable conversations.",

year = "1989",

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doi = "10.1016/0167-2789(89)90040-7",

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AU - Tabor, M.

N1 - Funding Information: This work is supported by Department of Energy Grant No. DE FG02 84ER13190. M.T. Sloan Research Fellow. The authors thank A.C. Newell for valuable conversations.

PY - 1989/10/1

Y1 - 1989/10/1

N2 - The WTC method is applied to a variety of nonintegrable nonlinear evolution equations and shown to provide a systematic procedure for obtaining special solutions. Some of the special techniques developed for integrable systems are also shown to be applicable to nonintegrable equations.

AB - The WTC method is applied to a variety of nonintegrable nonlinear evolution equations and shown to provide a systematic procedure for obtaining special solutions. Some of the special techniques developed for integrable systems are also shown to be applicable to nonintegrable equations.

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Painlevé expansions for nonintegrable evolution equations

Abstract

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