Nonlinear Sciences – Exactly Solvable and Integrable Systems
Scientific paper
2012-04-04
Nonlinear Sciences
Exactly Solvable and Integrable Systems
5 pages, 4 figures, Latex
Scientific paper
The ocean rogue wave, one of the mysteries of nature, has not yet been understood or modelled satisfactorily, in spite of being in the intense lime-light in recent years and the concept spreadin fast to other disciplines. Rogue waves are extraordinarily high and steep surface waves. However, most of their theoretical models and experimental observations, excluding a few are one-dimensional, admitting limited high intensity and steepness. We propose here a novel two-dimensional integrable nonlinear Schroedinger equation allowing an exact lump-soliton with special asymmetry and directional preference. The soliton can appear on surface waves making a hole just before surging up high, with adjustable height and steepness and disappear again followed by the hole. The dynamics, speed and the duration of the soliton is controlled by ocean currents. These desirable properties make our exact model promising for describing deep sea large rogue waves.
Kundu Anjan
Mukherjee Abhik
Naskar Tapan
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