3 citations · 6 across the 4 of their papers we have counts for
4 papers · 1 filter
Lagrangian multiforms and dispersionless integrable systems
Evgeny V. Ferapontov, Mats Vermeeren
We demonstrate that interesting examples of Lagrangian multiforms appear naturally in the theory of multidimensional dispersionless integrable systems as (a) higher-order conservat…
Higher-order reductions of the Mikhalev system
E. V. Ferapontov, V. Novikov, I. Roustemoglou
We consider the 3D Mikhalev system, which has first appeared in the context of KdV-type hierarchies. Under the reduction , one ob…
On a class of integrable Hamiltonian equations in 2+1 dimensions
B. Gormley, E. V. Ferapontov, V. S. Novikov
We classify integrable Hamiltonian equations in 3D with the Hamiltonian operator d/dx, where the Hamiltonian density h(u, w) is a function of two variables: dependent variable u an…
Dispersionless Hirota equations and the genus 3 hyperelliptic divisor
Fabien Cléry, Evgeny V. Ferapontov
Equations of dispersionless Hirota type have been thoroughly investigated in the mathematical physics and differential geometry literature. It is known that the parameter space of…