English

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

Exactly Solvable and Integrable Systems 2013-01-08 v1 Fluid Dynamics

Abstract

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

Keywords

Cite

@article{arxiv.1301.0990,
  title  = {Deep-water waves: On the nonlinear Schr{\"o}dinger equation and its solutions},
  author = {Nikolay K. Vitanov and Amin Chabchoub and Norbert Hoffmann},
  journal= {arXiv preprint arXiv:1301.0990},
  year   = {2013}
}

Comments

11 pages, 1 figure