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Modeling rogue waves with the Kadomtsev-Petviashvili equation

Faculty Advisor

Date

2018

Keywords

KP model, large time behavior, pattern formation, rogue wave, singularity formation

Abstract (summary)

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.

Publication Information

Bica, I., Wanye, R. K. (2018). Modeling rogue waves with the Kadomtsev-Petviashvili equation. Rocky Mountain Journal of Mathematics, 48(5), 1437-1454. https://doi.org/10.1216/RMJ-2018-48-5-1437

DOI

Notes

Item Type

Article

Language

English

Rights

All Rights Reserved