Differential and Integral Equations

On the solutions of Halphen's equation

Karl Unterkofler

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Abstract

We study Halphen's equation and provide solutions in terms of elliptic functions of the second kind. The connection between Halphen's equation and algebro-geometric solutions of the Boussinesq hierarchy is discussed.

Article information

Source
Differential Integral Equations, Volume 14, Number 9 (2001), 1025-1050.

Dates
First available in Project Euclid: 21 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.die/1356124306

Mathematical Reviews number (MathSciNet)
MR1852870

Zentralblatt MATH identifier
1029.34001

Subjects
Primary: 34M05: Entire and meromorphic solutions
Secondary: 35Q58 37K20: Relations with algebraic geometry, complex analysis, special functions [See also 14H70]

Citation

Unterkofler, Karl. On the solutions of Halphen's equation. Differential Integral Equations 14 (2001), no. 9, 1025--1050. https://projecteuclid.org/euclid.die/1356124306


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