Periodic oscillations of dark solitons in nonlinear optics

Hasegawa, 1973, Transmission of stationary nonlinear optical pulses in dispersive dielectric fiber, Appl. Phys. Lett., 23, 171, 10.1063/1.1654847 Mollenauer, 1980, Experimental observation of picosecond pulse narrowing and solitons in optical fibers, Phys. Rev. Lett., 45, 1095, 10.1103/PhysRevLett.45.1095 Emplit, 1987, Picosecond steps and dark pulses through nonlinear single mode fibers, Opt. Commun., 62, 374, 10.1016/0030-4018(87)90003-4 Agrawal, 2007 Biswas, 2017, Conservation laws for cubic–quartic optical solitons in Kerr and power law media, Optik, 145, 650, 10.1016/j.ijleo.2017.08.047 Biswas, 2017, Resonant optical solitons with quadratic–cubic nonlinearity by semi-inverse variational principle, Optik, 145, 18, 10.1016/j.ijleo.2017.07.028 Biswas, 2017, Resonant 1-soliton solution in anti-cubic nonlinear medium with perturbations, Optik, 145, 14, 10.1016/j.ijleo.2017.07.036 Biswas, 2017, Cubic–quartic optical solitons in Kerr and power law media, Optik, 144, 357, 10.1016/j.ijleo.2017.07.008 Biswas, 2017, Optical soliton perturbation with anti-cubic nonlinearity by semi-inverse variational principle, Optik, 143, 131, 10.1016/j.ijleo.2017.06.087 Biswas, 2017, Perturbation theory and optical soliton cooling with anti-cubic nonlinearity, Optik, 142, 73, 10.1016/j.ijleo.2017.05.060 Liu, 2017, Bidirectional all-optical switches based on highly nonlinear optical fibers, EPL, 118, 34004, 10.1209/0295-5075/118/34004 Liu, 2017, Analytic solutions for the generalized complex Ginzburg–Landau equation in fiber lasers, Nonlinear Dyn., 89, 2933, 10.1007/s11071-017-3636-5 Liu, 2017, Effect of high-order dispersion on three-soliton interactions for the variable-coefficients Hirota equation, Phys. Rev. E, 96, 042201, 10.1103/PhysRevE.96.042201 Liu, 2018, Tungsten diselenide for mode-locked erbium-doped fiber lasers with short pulse duration, Nanotechnology, 29, 174002, 10.1088/1361-6528/aaae40 Liu, 2018, Titanium selenide saturable absorber mirror for passive Q-switched Er-doped fiber laser, IEEE J. Sel. Top. Quantum Electron., 24, 0901005, 10.1109/JSTQE.2017.2759266 Liu, 2018, Ultrashort pulse generation in mode-locked erbium-doped fiber lasers with tungsten disulfide saturable absorber, Opt. Commun., 406, 72, 10.1016/j.optcom.2017.04.021 Li, 2018, Soliton structures in the (1 + 1)-dimensional Ginzburg–Landau equation with a parity-time-symmetric potential in ultrafast optics, Chin. Phys. B, 27, 030504, 10.1088/1674-1056/27/3/030504 Agrawal, 2006 Zhao, 1989, Propagation properties of dark solitons, Opt. Lett., 14, 703, 10.1364/OL.14.000703 Hamaide, 1991, Dark-soliton jitter in amplified optical transmission systems, Opt. Lett., 16, 1578, 10.1364/OL.16.001578 Zhao, 1992, Generation, propagation, and amplification of dark solitons, J. Opt. Soc. Am. B, 9, 1134, 10.1364/JOSAB.9.001134 Uzunov, 1993, Self-frequency shift of dark solitons in optical fibers, Phys. Rev. A, 47, 1582, 10.1103/PhysRevA.47.1582 Swartzlander, 1992, Dark-soliton prototype devices: analysis by using direct scattering theory, Opt. Lett., 17, 493, 10.1364/OL.17.000493 Davies, 1992, Waveguides and Y junctions formed in bulk media by using dark spatial solitons, Opt. Lett., 17, 496, 10.1364/OL.17.000496 Walker, 2017, Dark solitons in high velocity waveguide polariton fluids, Phys. Rev. Lett., 119, 097403, 10.1103/PhysRevLett.119.097403 Liu, 2016, Dark soliton control in inhomogeneous optical fibers, Appl. Math. Lett., 61, 80, 10.1016/j.aml.2016.05.008 Liu, 2016, Dark solitons in WS2 erbium-doped fiber lasers, Photon. Res., 4, 111, 10.1364/PRJ.4.000111 Liu, 2015, Generation of dark solitons in erbium-doped fiber lasers based Sb2Te3 saturable absorbers, Opt. Express, 23, 26023, 10.1364/OE.23.026023 Gadzhimuradov, 2017, Vector dark solitons with oscillating background density, Nonlinear Dyn., 89, 2695, 10.1007/s11071-017-3618-7 Zhang, 2017, Periodic solitons and their interactions for a general coupled nonlinear Schrödinger system, Superlattice Microstruct., 105, 198, 10.1016/j.spmi.2017.03.026 Musammil, 2017, Ultrashort dark solitons interactions and nonlinear tunneling in the modified nonlinear Schrödinger equation with variable coefficient, Opt. Fiber Technol., 37, 11, 10.1016/j.yofte.2017.06.006 Musammil, 2017, Dynamics of vector dark solitons propagation and tunneling effect in the variable coefficient coupled nonlinear Schrödinger equation, Chaos, 27, 023113, 10.1063/1.4976514 Hoeferl, 2016, Onset of transverse instabilities of confined dark solitons, Phys. Rev. A, 94, 013609, 10.1103/PhysRevA.94.013609 Seadawy, 2017, Modulation instability analysis for the generalized derivative higher order nonlinear Schrödinger equation and its the bright and dark soliton solutions, J. Electromagn. Wave, 31, 1353, 10.1080/09205071.2017.1348262 Seadawy, 2017, Bright and dark solitary wave soliton solutions for the generalized higher order nonlinear Schrödinger equation and its stability, Results Phys., 7, 43, 10.1016/j.rinp.2016.11.038