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Toplam kayıt 14, listelenen: 1-10
Early detection of rogue waves by the wavelet transforms
(Elsevier, 2016-01-08)
We discuss the possible advantages of using the wavelet transform over the Fourier transform for the early detection of rogue waves. We show that the triangular wavelet spectra of the rogue waves can be detected at early ...
Rogue wavefunctions due to noisy quantum tunneling potentials
(Işık University Press, 2017-02-02)
In this paper, we study the effects of white-noised potentials on nonlinear quantum tunneling. We use a split-step scheme to numerically solve the nonlinear Schrodinger equation (NLSE) with a tunneling potential. We consider ...
A note on the cylindrical solitary waves in an electron-acoustic plasma with vortex electron distribution
(Amer Inst Physics, 2015-09)
In the present work, we consider the propagation of nonlinear electron-acoustic non-planar waves in a plasma composed of a cold electron fluid, hot electrons obeying a trapped/vortex-like distribution, and stationary ions. ...
Compressive spectral method for the simulation of the nonlinear gravity waves
(Nature Publishing Group, 2016-02-25)
In this paper an approach for decreasing the computational effort required for the spectral simulations of the fully nonlinear ocean waves is introduced. The proposed approach utilizes the compressive sampling algorithm ...
Rogue waves of the Kundu-Eckhaus equation in a chaotic wave field
(American Physical Society, 2016-03-01)
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 ...
Freezing optical rogue waves by Zeno dynamics
(Elsevier Science BV, 2018-04-15)
We investigate the Zeno dynamics of the optical rogue waves. Considering their usage in modeling rogue wave dynamics, we analyze the Zeno dynamics of the Akhmediev breathers, Peregrine and Akhmediev-Peregrine soliton ...
Compressive spectral renormalization method
(Işık University Press, 2018-09-09)
In this paper a novel numerical scheme for finding the sparse self-localized states of a nonlinear system of equations with missing spectral data is introduced. As in the Petviashivili's and the spectral renormalization ...
Shapes and statistics of the rogue waves generated by chaotic ocean current
(International Society of Offshore and Polar Engineers, 2016)
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 Schrödinger equation (NLSE) ...
Compressive split-step Fourier method
(Işık University Press, 2015-02-09)
In this paper an approach for decreasing the computational effort required for the split-step Fourier method (SSFM) is introduced. It is shown that using the sparsity property of the simulated signals, the compressive ...
Analytical and numerical aspects of the dissipative nonlinear Schrödinger equation
(Işık University Press, 2016-02-15)
In this paper various analytical and numerical aspects of the dissipative nonlinear Schrodinger equation (d-NLS equation) are discussed. Decaying solitary wave type solutions derived by Demiray is reviewed and a new ...