63 citations · 280 across the 34 of their papers we have counts for
5 papers · 1 filter
Petviashvili Method for the Fractional Schrödinger Equation
Cihan Bayindir, Sofi Farazande, Azmi Ali Altintas +1
In this paper, we extend the Petviashvili method (PM) to the fractional nonlinear Schrödinger equation (fNLSE) for the construction and analysis of its soliton solutions. We also i…
Self-localized Solitons of a q-Deformed Quantum System
Cihan Bayindir, Azmi Ali Altintas, Fatih Ozaydin
Beyond a pure mathematical interest, q-deformation is promising for the modeling and interpretation of various physical phenomena. In this paper, we numerically investigate the exi…
Rogue Heat and Diffusion Waves
Cihan Bayindir
In this paper, we numerically show and discuss the existence and characteristics of rogue heat and diffusion waves. More specifically, we use two different nonlinear heat (diffusio…
Self-Localized Solitons of the Nonlinear Wave Blocking Problem
Cihan Bayindir
In this paper, we propose a numerical framework to study the shapes, dynamics and the stabilities of the self-localized solutions of the nonlinear wave blocking problem. With this…
Rogue Wave Spectra of the Kundu-Eckhaus Equation
Cihan A. Bayindir
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…