2013Swinburne figshare (Swinburne University of Technology)Open access

Deep-water waves: on the nonlinear Schroedinger equation and its solutions

Nikolay K. Vitanov, Amin Chabchoub, Norbert Hoffmann

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Abstract

We present a brief discussion on the nonlinear Schroedinger equation for modelling the propagation of the deep-water wavetrains and a discussion on its doubly-localized breather solutions, that can be con- nected to the sudden formation of extreme waves, also known as rogue waves or freak waves.

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What this paper is about

We present a brief discussion on the nonlinear Schroedinger equation for modelling the propagation of the deep-water wavetrains and a discussion on its doubly-localized breather solutions, that can be con- nected to the sudden formation of extreme waves, also known as rogue waves or freak waves.

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Available abstract

We present a brief discussion on the nonlinear Schroedinger equation for modelling the propagation of the deep-water wavetrains and a discussion on its doubly-localized breather solutions, that can be con- nected to the sudden formation of extreme waves, also known as rogue waves or freak waves.

Key concepts: Nonlinear Schrödinger equation, Nonlinear system, Deep water, Physics, Mathematical analysis, Mathematics, Classical mechanics, Applied mathematics

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