Painlevé property and integrability

Nicholas M Ercolani, Eric D. Siggia

Research output: Contribution to journalArticle

19 Citations (Scopus)

Abstract

For an n degree of freedom hyperelliptic separable hamiltonian, the pole series with n+1 free constants, through the Hamilton-Jacobi equation, bounds the degrees of the n-polynomials in involution. When all the pole series have no fewer than 2n constants, the phase space is conjectured to be just the direct product of 2n complex lines cut out by (2n-1) integrals.

Original languageEnglish (US)
Pages (from-to)112-116
Number of pages5
JournalPhysics Letters A
Volume119
Issue number3
DOIs
StatePublished - Dec 8 1986

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poles
Hamilton-Jacobi equation
polynomials
degrees of freedom
products

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Painlevé property and integrability. / Ercolani, Nicholas M; Siggia, Eric D.

In: Physics Letters A, Vol. 119, No. 3, 08.12.1986, p. 112-116.

Research output: Contribution to journalArticle

Ercolani, Nicholas M ; Siggia, Eric D. / Painlevé property and integrability. In: Physics Letters A. 1986 ; Vol. 119, No. 3. pp. 112-116.
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