A commutator representation of Painlevé equations

H. Flaschka

doi:10.1063/1.524549

A commutator representation of Painlevé equations

H. Flaschka

Mathematics

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

21 Scopus citations

Abstract

This paper further develops the connection between partial differential equations solvable by inverse scattering methods and ordinary differential equations of Painlevé type. The main result given here is that Painlevé equations have a concise algebraic formulation [L,B] = L when written in the Lax representation.

Original language	English (US)
Pages (from-to)	1016-1018
Number of pages	3
Journal	Journal of Mathematical Physics
Volume	21
Issue number	5
DOIs	https://doi.org/10.1063/1.524549
State	Published - 1979

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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title = "A commutator representation of Painlev{\'e} equations",

abstract = "This paper further develops the connection between partial differential equations solvable by inverse scattering methods and ordinary differential equations of Painlev{\'e} type. The main result given here is that Painlev{\'e} equations have a concise algebraic formulation [L,B] = L when written in the Lax representation.",

author = "H. Flaschka",

year = "1979",

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A commutator representation of Painlevé equations

Abstract

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