14 citations · 23 across the 2 of their papers we have counts for
2 papers
nlin.SI2008★ 14 cited
On integrability of the Camassa-Holm equation and its invariants. A geometrical approach
Valentina Golovko, Paul Kersten, Iosif Krasil'shchik +1
Using geometrical approach exposed in arXiv:math/0304245 and arXiv:nlin/0511012, we explore the Camassa-Holm equation (both in its initial scalar form, and in the form of 2x2-syste…
math.DG2008★ 9 cited
Variational Poisson-Nijenhuis structures for partial differential equations
Valentina Golovko, Iosif Krasil'shchik, Alexander Verbovetsky
We explore variational Poisson-Nijenhuis structures on nonlinear PDEs and establish relations between Schouten and Nijenhuis brackets on the initial equation with the Lie bracket o…