ON THE NATURE OF LARGE AND ROGUE WAVES.

(Communicated by the associate editor name) Abstract. In this paper we discuss a model of large and rogue waves in non-necessarily shallow water. We assume that the relevant portion of the flow is restricted to a near-surface layer, assumption which enables us to use the Kadomtsev-Petviashvili equation. The shape and behavior of several types of waves predicted by some singular solutions of the Kadomtsev-Petviashvili equation is compared to the physical waves observed in the ocean. 1. A very short introduction into the history of rogue waves. The goal of this paper is to show that the Kadomtsev-Petviashvili equation provides a rough description and classification of large waves and predicts the existence of so-called ”rogue waves”. Rogue waves (also known as monster waves, freak waves, killer waves, extreme waves, abnormal waves, etc.) are large ocean surface waves that occur far out in sea and appear spontaneously supposedly out of nowhere, even in calm seas. One such rogue wave caused the Ocean Ranger, then the world’s largest offshore platform, to capsize in 1982. Rogue waves could appear in any place of the worl