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Jun 29, 2018
06/18

by
Cihan Bayindir

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In this paper we propose an extended Kundu-Eckhaus equation (KEE) for modeling the dynamics of skewed rogue waves emerging in the vicinity of a wave blocking point due to opposing current. The equation we propose is a KEE with an additional potential term therefore the results presented in this paper can easily be generalized to study the quantum tunneling properties of the rogue waves and ultrashort (femtosecond) pulses of the KEE. In the frame of the extended KEE, we numerically show that the...

Topics: Fluid Dynamics, Quantum Physics, Physics, Atmospheric and Oceanic Physics

Source: http://arxiv.org/abs/1602.05339

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Jun 29, 2018
06/18

by
Cihan Bayindir; J. David Frost; Christopher F. Barnes

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In this study the detection of the oil spill using synthetic aperture radar (SAR) imagery is considered. Detection of the oil spill is performed using change detection algorithms between imagery acquired at different times. The specific algorithms used are the correlation coefficient change statistic and the intensity ratio change statistic algorithms. Therefore these algorithms and the probabilistic selection of the threshold criteria is reviewed and discussed. A recently offered change...

Topics: Atmospheric and Oceanic Physics, Physics

Source: http://arxiv.org/abs/1604.00625

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Jun 29, 2018
06/18

by
Cihan Bayindir

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We discuss the possible usage of the compressive sampling for the early detection of rogue waves. One of the promising techniques for the early detection of the oceanic rogue waves is to measure the triangular Fourier spectra which begin to appear at the early stages of their development. For the early detection of the rogue waves it is possible to treat such a spectrum as a sparse signal since we would mainly be interested in the high amplitude triangular region located at the central...

Topics: Fluid Dynamics, Nonlinear Sciences, Atmospheric and Oceanic Physics, Physics, Chaotic Dynamics,...

Source: http://arxiv.org/abs/1602.00816

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Jun 29, 2018
06/18

by
Cihan Bayindir

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In this paper we study the properties of the chaotic wave fields generated in the frame of the Kundu-Eckhaus equation (KEE). Modulation instability results in a chaotic wave field which exhibits small-scale filaments with a free propagation constant, k. The average velocity of the filaments is approximately given by the average group velocity calculated from the dispersion relation for the plane-wave solution however direction of propagation is controlled by the $\beta$ parameter, the constant...

Topics: Fluid Dynamics, Nonlinear Sciences, Atmospheric and Oceanic Physics, Physics, Chaotic Dynamics,...

Source: http://arxiv.org/abs/1601.00209