7 citations · 7 across the 6 of their papers we have counts for
3 papers · 1 filter
Wedge problems and dispersive shock waves in the two-dimensional Toda lattice
Marco Calabrese, Gino Biondini, Christopher Chong +1
We study the formation and interaction of dispersive shock waves (DSWs) in the two-dimensional Toda lattice subject to wedge-type initial conditions, and show that their interactio…
Traveling and Dispersive Shock Waves in a Two-Dimensional Fermi-Pasta-Ulam-Tsingou Lattice
Christopher Chong, Panayotis G. Kevrekidis, Gino Biondini +1
In the present work we analyze traveling and dispersive shock waves of a two-dimensional Fermi-Pasta-Ulam-Tsingou lattice. In the first part of the paper, using variational techniq…
Modulation theory for lumps and interactions between lumps and a mean field in the Kadomtsev-Petviashvili equation
Gino Biondini, Sergey Dyachenko, Mark A. Hoefer +1
A (2+1)-dimensional hyperbolic system of four quasi-linear partial differential equations is derived that describes the modulations of lump solutions of the Kadomtsev-Petviashvili…