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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 ...
Early detection of rogue waves using compressive sampling
(Işık University Press, 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 triangular Fourier spectra ...
A split-step Fourier scheme for the dissipative Kundu-Eckhaus equation and its rogue wave dynamics
(Işık University Press, 2021-01)
We investigate the rogue wave dynamics of the dissipative Kundu-Eckhaus equation. With this motivation, we propose a split-step Fourier scheme for its numerical solution. After testing the accuracy and stability of the ...