2017/02/01 by N.M. Musammil, N. M. Musammil, K. Porsezian +8 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Fiber Laser Technologies #Classical mechanics #FOS: Physical sciences #Mathematical analysis #Mathematical physics #Mathematics #Nonlinear Photonic Systems #Nonlinear Schrödinger equation #Nonlinear Waves and Solitons #Nonlinear system #Optics (physics.optics) #Pattern Formation and Solitons (nlin.PS) #Physics #Quantum electrodynamics #Quantum mechanics #Quantum tunnelling #Schrödinger equation #Schrödinger's cat #Variable (mathematics) #Variable coefficient #nlin.PS #physics.optics
paper · pdf · doi:10.48550/arxiv.1702.02632
11 pages, 12 figures
arxiv created 2017/02/01 · openalex publication_date 2017/02/01 · arxiv updated 2017/02/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We present the study of the dark soliton dynamics in an inhomogenous fiber by means of a variable coefficient modified nonlinear Schrödinger equation (Vc-MNLSE) with distributed dispersion, self-phase modulation, self-steepening and linear gain/loss. The ultrashort dark soliton pulse evolution and interaction is studied by using the Hirota bilinear (HB) method. In particular, we give much insight into the effect of self-steepening (SS) on the dark soliton dynamics. The study reveals a shock wave formation, as a major effect of SS. Numerically, we study the dark soliton propagation in the continuous wave background, and the stability of the soliton solution is tested in the presence of photon noise. The elastic collision behaviors of the dark solitons are discussed by the asymptotic analysis. On the other hand, considering the nonlinear tunneling of dark soliton through barrier/well, we find that the tunneling of the dark soliton depends on the height of the barrier and the amplitude of the soliton. The intensity of the tunneling soliton either forms a peak or valley and retains its shape after the tunneling. For the case of exponential background, the soliton tends to compress after tunneling through the barrier/well.