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…