Open Access
2018 Modeling rogue waves with the Kadomtsev--Petviashvili (KP) equation
Ion Bica, Randy Wanye K
Rocky Mountain J. Math. 48(5): 1437-1454 (2018). DOI: 10.1216/RMJ-2018-48-5-1437

Abstract

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.

Citation

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Ion Bica. Randy Wanye K. "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

Information

Published: 2018
First available in Project Euclid: 19 October 2018

zbMATH: 06958786
MathSciNet: MR3866553
Digital Object Identifier: 10.1216/RMJ-2018-48-5-1437

Subjects:
Primary: 35Q53

Keywords: KP model , Large time behavior , pattern formation , rogue wave , singularity formation

Rights: Copyright © 2018 Rocky Mountain Mathematics Consortium

Vol.48 • No. 5 • 2018
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