In this paper, we derive a new class of solutions for the Kadomtsev-Petviashvili (KP) equation, and we discuss their possible relevance to rogue waves. The nonlinear interaction of these solutions is considered.
"Modeling rogue waves with the Kadomtsev--Petviashvili (KP) equation." Rocky Mountain J. Math. 48 (5) 1437 - 1454, 2018. https://doi.org/10.1216/RMJ-2018-48-5-1437