Now showing items 1-9 of 9

  • Analytical and numerical aspects of the dissipative nonlinear Schrodinger equation 

    Bayındır, Cihan (Turkic World Mathematical Soc, 2016)
    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 ...
  • Assessment and Enhancement of SAR Noncoherent Change Detection of Sea-Surface Oil Spills 

    Bayındır, Cihan; Frost, J. David; Barnes, Christopher F. (IEEE, 2018-01)
    Oil spills are one of the most dangerous catastrophes that threaten the oceans. Therefore, detecting and monitoring oil spills by means of remote sensing techniques that provide large-scale assessments is of critical ...
  • Compressive spectral method for the simulation of the nonlinear gravity waves 

    Bayındır, Cihan (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 ...
  • Compressive spectral method for the simulation of the nonlinear gravity waves 

    Bayındır, Cihan (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 ...
  • Compressive spectral renormalization method 

    Bayındır, Cihan (Turkic World Mathematical Soc, 2018-01-01)
    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 ...
  • Early detection of rogue waves by the wavelet transforms 

    Bayındır, Cihan (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 wave spectra of the Kundu-Eckhaus equation 

    Bayındır, Cihan (Amer Physical Soc., 2016-06-15)
    In this paper we analyze the rogue wave spectra of the Kundu-Eckhaus equation (KEE). We compare our findings with their nonlinear Schrodinger equation (NLSE) analogs and show that the spectra of the individual rogue waves ...
  • Rogue wavefunctions due to noisy quantum tunneling potentials 

    Bayındır, Cihan (TURKIC WORLD MATHEMATICAL SOC, 2017)
    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 ...
  • Rogue waves of the Kundu-Eckhaus equation in a chaotic wave field 

    Bayındır, Cihan (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 ...