2013•arXiv (Cornell University)Open access

Deep-water waves: On the nonlinear Schr{\\"o}dinger equation and its\n solutions

Nikolay K. Vitanov, Amin Chabchoub, Norbert Hoffmann

Abstract

We present a brief discussion on the nonlinear Schr{\\"o}dinger equation for\nmodeling the propagation of the deep-water wavetrains and a discussion on its\ndoubly-localized breather solutions that can be connected to the sudden\nformation of extreme waves, also known as rogue waves or freak waves.\n

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Key concepts: Rogue wave, Breather, Nonlinear Schrödinger equation, Deep water, Nonlinear system, FREAK, Waves and shallow water, Physics