40 citations · 108 across the 3 of their papers we have counts for
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math.AG2006★ 40 cited
Abelian Functions for Cyclic Trigonal Curves of Genus Four
S. Baldwin, J. C. Eilbeck, J. Gibbons +1
We discuss the theory of generalized Weierstrass and functions defined on a trigonal curve of genus four, following earlier work on the genus three case. The specific exa…
nlin.SI2006★ 13 cited
Differential Geometry of Hydrodynamic Vlasov Equations
John Gibbons, Andrea Raimondo
We consider hydrodynamic chains in dimensions which are Hamiltonian with respect to the Kupershmidt-Manin Poisson bracket. These systems can be derived from single …
nlin.CD2006★ 1 cited
Singular solutions for geodesic flows of Vlasov moments
John Gibbons, Darryl D. Holm, Cesare Tronci
The Vlasov equation for the collisionless evolution of the single-particle probability distribution function (PDF) is a well-known example of coadjoint motion. Remarkably, the prop…