## 32 Citations

### EARLY DETECTION OF ROGUE WAVES USING COMPRESSIVE SAMPLING

- Physics
- 2019

We discuss the possible usage of the compressive sampling for the early detection of the rogue waves. One of the promising techniques for the early detection of the rogue waves is to measure the…

### Early Detection of Rogue Waves Using Compressive Sensing

- Environmental Science
- 2016

We discuss the possible usage of the compressive sampling for the early detection of rogue waves in a chaotic sea state. One of the promising techniques for the early detection of the oceanic rogue…

### Efficient Measurement of the Vibrational Rogue Waves by Compressive Sampling Based Wavelet Analysis

- EngineeringLecture Notes in Mechanical Engineering
- 2020

In this paper we discuss the possible usage of the compressive sampling based wavelet analysis for the efficient measurement and for the early detection of one dimensional (1D) vibrational rogue…

### Predictability of the appearance of anomalous waves at sufficiently small Benjamin–Feir indices

- Physics
- 2016

The numerical simulation of the nonlinear dynamics of random sea waves at sufficiently small Benjamin–Feir indices and its comparison with the linear dynamics (at the coincidence of spatial Fourier…

### Shapes and Statistics of the Rogue Waves Generated by Chaotic Ocean Current

- Physics
- 2015

In this study we discuss the shapes and statistics of the rogue (freak) waves emerging due to wave-current interactions. With this purpose, we use a simple governing equation which is a nonlinear…

### COMPRESSIVE SPECTRAL METHOD FOR THE SIMULATION OF THE WATER WAVES

- Environmental Science
- 2015

xAbstract. In this paper an approach for decreasing the computational e ort requiredfor the spectral simulations of the water waves is introduced. Signals with majority ofthe components zero, are…

### Compressive Spectral Method for the Simulation of the Nonlinear Gravity Waves

- Environmental ScienceScientific reports
- 2016

It is shown that the proposed methodology can simulate the linear and the fully nonlinear ocean waves with negligible difference in the accuracy and with a great efficiency by reducing the computation time significantly especially for large time evolutions.

## References

SHOWING 1-10 OF 43 REFERENCES

### Predictability of rogue events.

- PhysicsPhysical review letters
- 2015

It is observed that rogue events do not necessarily appear without a warning, but are often preceded by a short phase of relative order, which sheds some new light on the fascinating phenomenon of rogue waves.

### Predicting rogue waves in random oceanic sea states

- Mathematics
- 2004

Using the inverse spectral theory of the nonlinear Schrodinger (NLS) equation we correlate the development of rogue waves in oceanic sea states characterized by the Joint North Sea Wave Project…

### Circular rogue wave clusters.

- MathematicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2011

This analysis reveals the existence of rogue wave clusters with a high level of symmetry in the (x,t) plane that arise naturally when the shifts in the Darboux scheme are taken to be eigenvalue dependent.

### Multi-rogue waves solutions: from the NLS to the KP-I equation

- Physics
- 2013

Our discovery of multi-rogue wave (MRW) solutions in 2010 completely changed the viewpoint on the links between the theory of rogue waves and integrable systems, and helped explain many phenomena…

### Rogue waves and rational solutions of the nonlinear Schrödinger equation.

- PhysicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2009

This work can elucidate the appearance of rogue waves in the deep ocean and can be applied to the observation of rogue light pulse waves in optical fibers.

### Generating mechanism for higher-order rogue waves.

- PhysicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2013

We introduce a mechanism for generating higher-order rogue waves (HRWs) of the nonlinear Schrödinger (NLS) equation: the progressive fusion and fission of n degenerate breathers associated with a…

### Water waves, nonlinear Schrödinger equations and their solutions

- PhysicsThe Journal of the Australian Mathematical Society. Series B. Applied Mathematics
- 1983

Abstract Equations governing modulations of weakly nonlinear water waves are described. The modulations are coupled with wave-induced mean flows except in the case of water deeper than the modulation…

### The rogue wave and breather solution of the Gerdjikov-Ivanov equation

- Mathematics
- 2012

The Gerdjikov-Ivanov (GI) system of q and r is defined by a quadratic polynomial spectral problem with 2 × 2 matrix coefficients. Each element of the matrix of n-fold Darboux transformation (DT) for…