Painleve property and integrability

Technical Report · Tue Jan 13 00:00:00 EST 1987

OSTI ID:6892345

Ercolani, N; Siggia, E D

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. 14 refs.

• Research Organization: Arizona Univ., Tucson (USA). Dept. of Mathematics; Cornell Univ., Ithaca, NY (USA). Lab. of Atomic and Solid State Physics
• DOE Contract Number: AC02-83ER13044
• OSTI ID: 6892345
• Report Number(s): DOE/ER/13044-7; ON: DE87004003
• Country of Publication: United States
• Language: English

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