123 citations · 436 across the 23 of their papers we have counts for
Showing 2012 · physics.class-phShow all
3 papers · 2 filters
physics.class-ph2012★ 39 cited
Geometric numerical schemes for the KdV equation
Denys Dutykh, Marx Chhay, Francesco Fedele
Geometric discretizations that preserve certain Hamiltonian structures at the discrete level has been proven to enhance the accuracy of numerical schemes. In particular, numerous s…
physics.class-ph2012★ 12 cited
Solitary wave interaction in a compact equation for deep-water gravity waves
Francesco Fedele, Denys Dutykh
In this study we compute numerical traveling wave solutions to a compact version of the Zakharov equation for unidirectional deep-water waves recently derived by Dyachenko & Zakhar…
physics.class-ph2012★ 23 cited
Special solutions to a compact equation for deep-water gravity waves
Francesco Fedele, Denys Dutykh
Recently, Dyachenko & Zakharov (2011) have derived a compact form of the well known Zakharov integro-differential equation for the third order Hamiltonian dynamics of a potential f…