1 citations
2 papers
nlin.SI2003
On a Theorem of Halphen and its Application to Integrable Systems
Fritz Gesztesy, Karl Unterkofler, Rudi Weikard
We extend Halphen's theorem which characterizes the solutions of certain th-order differential equations with rational coefficients and meromorphic fundamental systems to a firs…
nlin.SI2003★ 1 cited
An Explicit Characterization of Calogero--Moser Systems
Fritz Gesztesy, Karl Unterkofler, Rudi Weikard
Combining theorems of Halphen, Floquet, and Picard and a Frobenius type analysis, we characterize rational, meromorphic simply periodic, and elliptic KdV potentials. In particular,…