# On the so-called rogue waves in the nonlinear Schr\"odinger equation

@article{Li2015OnTS, title={On the so-called rogue waves in the nonlinear Schr\"odinger equation}, author={Y. Charles Li}, journal={arXiv: Fluid Dynamics}, year={2015} }

The mechanism of a rogue water wave is still unknown. One pop- ular conjectureis that the Peregrine wave solution of the nonlinearSchrodinger equation (NLS) provides a mechanism. A Peregrine wave solution can be ob- tained by taking the infinite spatial period limit to the homoclinic solutions. In this article, from the perspective of the phase space structure of these ho- moclinic orbits in the infinite dimensional phase space where the NLS defines a dynamical system, we exam the observability…

## 2 Citations

### Numerical study of the transverse stability of the Peregrine solution

- PhysicsStudies in Applied Mathematics
- 2020

It is shown, with several examples, that the Peregrine solution is unstable against all standard perturbation, and that some perturbations can even lead to a blow up.

### Numerical study of the stability of the Peregrine solution

- Physics, Mathematics
- 2017

The Peregrine solution to the nonlinear Schrodinger equations is widely discussed as a model for rogue waves in deep water. We present here a detailed fully nonlinear numerical study of high accuracy…

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