P. Vanhaecke

activity

19982024

most citedBacklund transformations for finite-dimensional integrable systems: a geometric approach

43 citations · 119 across the 22 of their papers we have counts for

collaborators

Showing 2008Show all

2 papers · 1 filter

math.SG2008

Action-angle coordinates for integrable systems on Poisson manifolds

Camille Laurent-Gengoux, Eva Miranda, Pol Vanhaecke

We prove the action-angle theorem in the general, and most natural, context of integrable systems on Poisson manifolds, thereby generalizing the classical proof, which is given in…

math-ph2008

Singular fiber of the Mumford system and rational solutions to the KdV hierarchy

Rei Inoue, Pol Vanhaecke, Takao Yamazaki

We study the singular iso-level manifold $M_{g} (0)$ of the genus $g$ Mumford system associated to the spectral curve $y^{2} = x^{2 g + 1}$ . We show that $M_{g} (0)$ is stratified by $g + 1$ open…