Now showing items 1-5 of 5

  • 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 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 ...
  • 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 ...