Yazar "0000-0002-3654-0469" için Turkic World Mathematical Society Journal of Applied and Engineering Mathematics listeleme
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Analytical and numerical aspects of the dissipative nonlinear Schrödinger equation
Bayındır, Cihan (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 ... -
Compressive spectral renormalization method
Bayındır, Cihan (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 ... -
Compressive split-step Fourier method
Bayındır, Cihan (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 ... -
Early detection of rogue waves using compressive sampling
Bayındır, Cihan (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 ... -
Rogue wavefunctions due to noisy quantum tunneling potentials
Bayındır, Cihan (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 ...