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Soliton control with inhomogeneous dispersion under the influence of tunable external harmonic potential. (English) Zbl 1520.78043


MSC:

78A60 Lasers, masers, optical bistability, nonlinear optics
35C08 Soliton solutions
37K35 Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems
35Q55 NLS equations (nonlinear Schrödinger equations)
Full Text: DOI

References:

[1] Hasegawa, A.; Tappert, F., Transmission of stationary nonlinear optical pulses in dispersive dielectric fibers. I. anomalous dispersion, Appl Phys Lett, 23, 142-144 (1973) · doi:10.1063/1.1654836
[2] Mollenauer, LF; Stolen, RH; Gordon, JP., Experimental observation of picosecond pulse narrowing and solitons in optical fibers, Phys Rev Lett, 45, 1095-1098 (1980) · doi:10.1103/PhysRevLett.45.1095
[3] Mani Rajan, MS; Mahalingam, A.; Uthayakumar, A., Nonlinear tunneling of nonautonomous optical solitons in combined nonlinear Schrödinger and Maxwell-Bloch systems, J Opt, 14, 105204 (2012) · doi:10.1088/2040-8978/14/10/105204
[4] Mani Rajan, MS; Mahalingam, A.; Uthayakumar, A., Observation of two soliton propagation in an erbium doped inhomogeneous lossy fiber with phase modulation, Commun Nonlinear Sci Numer Simul, 18, 1410-1432 (2013) · Zbl 1288.35435 · doi:10.1016/j.cnsns.2012.10.008
[5] Mani Rajan, MS., Dynamics of optical soliton in a tapered erbium-doped fiber under periodic distributed amplification system, Nonlinear Dyn, 85, 599-606 (2016) · doi:10.1007/s11071-016-2709-1
[6] Mani Rajan, MS; Mahalingam, A., Multi-soliton propagation in a generalized inhomogeneous nonlinear Schrödinger-Maxwell-Bloch system with loss/gain driven by an external potential, J Math Phys, 54, 043514 (2013) · Zbl 1282.78025 · doi:10.1063/1.4798477
[7] Wang, L.; Zhang, LL; Zhu, YJ, Modulational instability, nonautonomous characteristics and semirational solutions for the coupled nonlinear Schrödinger equations in inhomogeneous fibers, Commun Nonlinear Sci Numer Simul, 40, 216-237 (2016) · Zbl 1510.81065 · doi:10.1016/j.cnsns.2016.04.016
[8] Liu, WJ; Zhang, Y.; Pang, L., Study on the control technology of optical solitons in optical fibers, Nonlinear Dyn, 86, 1069-1073 (2016) · doi:10.1007/s11071-016-2947-2
[9] Liu, WJ; Pang, L.; Yan, H., Optical soliton shaping in dispersion decreasing fibers, Nonlinear Dyn, 84, 2205-2209 (2016) · doi:10.1007/s11071-016-2639-y
[10] Gromov, EM; Malomed, BA; Tyutin, VV., Vector solitons in coupled nonlinear Schrödinger equations with spatial stimulated scattering and inhomogeneous dispersion, Commun Nonlinear Sci Numer Simul, 54, 13-20 (2018) · Zbl 1510.35299 · doi:10.1016/j.cnsns.2017.05.012
[11] Arun Prakash, S.; Malathi, V.; Mani Rajan, MS., Tailored dispersion profile in controlling optical solitons in a tapered parabolic index fiber, J Mod Opt, 63, 468-476 (2016) · doi:10.1080/09500340.2015.1080865
[12] Duan, L.; Yang, ZY; Zhao, LC, Stable supercontinuum pulse generated by modulation instability in a dispersion-managed fiber, J Mod Opt, 63, 1397-1402 (2016) · doi:10.1080/09500340.2016.1149625
[13] Hasegawa, A., Soliton-based optical communications: an overview, IEEE J Sel Top Quantum Electron, 6, 1161-1172 (2000) · doi:10.1109/2944.902164
[14] Ganapathy, R.; Porsezian, K.; Hasegawa, A., Soliton interaction under dispersion management, IEEE J Quantum Electron, 44, 383-390 (2008) · doi:10.1109/JQE.2007.914778
[15] Hasegawa, A., Quasi-soliton for ultra-high-speed communications, Phys D, 123, 267 (1998) · doi:10.1016/S0167-2789(98)00126-2
[16] Mani Rajan, MS; Mahalingam, A., Nonautonomous solitons in modified inhomogeneous Hirota equation: soliton control and soliton interaction, Nonlinear Dyn, 79, 2469-2484 (2015) · doi:10.1007/s11071-014-1826-y
[17] Subramanian, K.; Alagesan, T.; Mahalingam, A., Propagation properties of optical soliton in an erbium-doped tapered parabolic index nonlinear fiber: soliton control, Nonlinear Dyn, 87, 1575-1587 (2017) · doi:10.1007/s11071-016-3134-1
[18] Chai, J.; Tian, B.; Xie, XY, Conservation laws, bilinear Bäcklund transformations and solitons for a nonautonomous nonlinear Schrödinger equation with external potentials, Commun Nonlinear Sci Numer Simul, 39, 472-480 (2016) · Zbl 1510.35290 · doi:10.1016/j.cnsns.2016.02.024
[19] Wang, L.; Li, X.; Zhang, LL, Nonautonomous characteristics of the breathers and rogue waves for a amplifier nonlinear Schrödinger Maxwell-Bloch system, Eur Phys J D, 69, 214 (2015) · doi:10.1140/epjd/e2015-60316-0
[20] Serkin, VN; Hasegawa, A., Novel soliton solutions of the nonlinear Schrödinger equation Model, Phys. Rev. Lett, 85, 4502 (2000) · doi:10.1103/PhysRevLett.85.4502
[21] Serkin, VN; Hasegawa, A.; Belyaeva, TL., Nonautonomous solitons in external potentials, Phys Rev Lett, 98, 074102 (2007) · doi:10.1103/PhysRevLett.98.074102
[22] Serkin, VN; Hasegawa, A.; Belyaeva, TL., Solitary waves in nonautonomous nonlinear and dispersive systems: nonautonomous solitons, J Mod Opt, 57, 1456-1472 (2010) · Zbl 1203.78042 · doi:10.1080/09500341003624750
[23] Serkin, VN; Hasegawa, A.; Belyaeva, TL., Nonautonomous matter-wave solitons near the Feshbach resonance, Phys Rev A, 81, 023610 (2010) · doi:10.1103/PhysRevA.81.023610
[24] Jia, H.; Yang, RC; Tian, J., Controllable excitation of higher-order rogue waves in nonautonomous systems with both varying linear and harmonic external potentials, Opt Commun, 415, 93-100 (2018) · doi:10.1016/j.optcom.2018.01.026
[25] Zhao, LC; He, SL., Matter wave solitons in coupled system with external potentials, Phys Lett A, 375, 3017-3020 (2011) · doi:10.1016/j.physleta.2011.06.034
[26] Wang, X.; Wang, L., Darboux transformation and nonautonomous solitons for a modified Kadomtsev-Petviashvili equation with variable coefficients, Comput Math Appl, 75, 4201-4213 (2018) · Zbl 1420.35330 · doi:10.1016/j.camwa.2018.03.022
[27] Mena-Contla, A.; Serkin, VN; Belyaeva, TL, Extreme nonlinear waves in external gravitational-like potentials: possible applications for the optical soliton supercontinuum generation and the ocean coast line protection, Optik (Stuttg), 161, 187-195 (2018) · doi:10.1016/j.ijleo.2018.01.031
[28] Dai, CQ; Wang, XG; Zhou, GQ., Stable light-bullet solutions in the harmonic and parity-time-symmetric potentials, Phys Rev A, 89, 013834 (2014) · doi:10.1103/PhysRevA.89.013834
[29] Bogatyrev, VA; Bubnov, MM; Dianov, EM, A single-mode fiber with chromatic dispersion varying along the length, J Lightwave Technol, 9, 561 (1991) · doi:10.1109/50.79530
[30] Yang, C.; Li, W.; Yu, W., Amplification, reshaping, fission and annihilation of optical solitons in dispersion decreasing fiber, Nonlinear Dyn, 92, 203-213 (2018) · Zbl 1398.35013 · doi:10.1007/s11071-018-4049-9
[31] Nakkeeran, K.; Moubissi, AB; Tchofo Dinda, P., Analytical method for designing dispersion-managed fiber systems, Opt Lett, 26, 1544 (2001) · doi:10.1364/OL.26.001544
[32] Biswas, A., Dynamics of optical solitons with dispersion-management, Chaos Solitons Fractals, 14, 447-468 (2002) · Zbl 1001.78015 · doi:10.1016/S0960-0779(01)00215-6
[33] Ablowitz, MJ; Kaup, DJ; Newell, AC, Nonlinear-evolution equations of physical significance, Phys Rev Lett, 31, 125 (1973) · Zbl 1243.35143 · doi:10.1103/PhysRevLett.31.125
[34] Matveev, VB; Salle, MA., Darboux transformations and solitons (1991), Berlin: Springer, Berlin · Zbl 0744.35045
[35] He, JR; Li, HM., Analytical solitary-wave solutions of the generalized nonautonomous cubic-quintic nonlinear Schrödinger equation with different external potentials, Phys Rev E, 83, 066607 (2011) · doi:10.1103/PhysRevE.83.066607
[36] He, XG; Zhao, D.; Li, L., Engineering integrable nonautonomous nonlinear Schrödinger equations, Phys. Rev E, 79, 056610 (2009) · doi:10.1103/PhysRevE.79.056610
[37] Yan, Z., Nonautonomous “rogons” in the inhomogeneous nonlinear Schrödinger equation with variable coefficients, Phys Lett A, 374, 672-679 (2010) · Zbl 1235.35266 · doi:10.1016/j.physleta.2009.11.030
[38] Deng, GF; Gao, YT., Solitons for the (3 + 1)-dimensional coupled variable-coefficient nonlinear Schrödinger equations in an optical fiber, Superlattices Microstruct, 109, 345-359 (2017) · doi:10.1016/j.spmi.2017.02.056
[39] Mahalingam, A.; Mani Rajan, MS., Influence of generalized external potentials on nonlinear tunneling of nonautonomous solitons: soliton management, Opt Fiber Technol, 25, 44-50 (2015) · doi:10.1016/j.yofte.2015.07.013
[40] Loomba, S.; Kaur, H.; Gupta, R., Controlling rogue waves in inhomogeneous Bose-Einstein condensates, Phys Rev E, 89, 052915 (2014) · doi:10.1103/PhysRevE.89.052915
[41] Vithya, A.; Mani Rajan, MS., Attosecond soliton shaping through dispersion tailoring technique in a monomode optical fiber, Optik (Stuttg), 167, 196-203 (2018) · doi:10.1016/j.ijleo.2018.04.043
[42] Zhang, HQ; Hu, R.; Zhang, MY., Darboux transformation and dark soliton solution for the defocusing Sasa-Satsuma equation, Appl Math Lett, 69, 101-105 (2017) · Zbl 1376.78008 · doi:10.1016/j.aml.2017.02.012
[43] Zhang, HQ; Wang, Y.; Ma, WX., Binary Darboux transformation for the coupled Sasa-Satsuma equations, Chaos, 27, 073102 (2017) · Zbl 1390.35346 · doi:10.1063/1.4986807
[44] Zhang, HQ; Zhang, MY; Hu, R., Darboux transformation and soliton solutions in the parity time symmetric nonlocal vector nonlinear Schrödinger equation, Appl Math Lett, 76, 170-174 (2018) · Zbl 1379.35300 · doi:10.1016/j.aml.2017.09.002
[45] Zhang, HQ; Chen, F., Dark and antidark solitons for the defocusing coupled Sasa-Satsuma system by the Darboux transformation, Appl Math Lett, 88, 237-242 (2019) · Zbl 1410.35231 · doi:10.1016/j.aml.2018.09.002
[46] Liu, WJ; Liu, M.; Han, H., Nonlinear optical properties of WSe_2 and MoSe_2films and their applications in passively Q-switched erbium doped fiber lasers, Photonics Res, 6, C15-C21 (2018) · doi:10.1364/PRJ.6.000C15
[47] Liu, ML; OuYang, Y.; Hou, HR, Mos_2 saturable absorber prepared by chemical vapor deposition method for nonlinear control in Q-switching fiber laser, Chin Phys B, 27, 084211 (2018) · doi:10.1088/1674-1056/27/8/084211
[48] Liu, WJ; Liu, M.; OuYang, Y., CVD-grown MoSe_2 with high modulation depth for ultrafast mode-locked erbium-doped fiber laser, Nanotechnology, 29, 394002 (2018) · doi:10.1088/1361-6528/aad0b3
[49] Zhang, Y.; Yang, C.; Yu, W., Some types of dark soliton interactions in inhomogeneous optical fibers, Opt Quant Elect, 50, 295 (2018) · doi:10.1007/s11082-018-1560-7
[50] Liu, WJ; Liu, ML; Yin, JD, Tungsten diselenide for all-fiber lasers with the chemical vapor deposition method, Nanoscale, 10, 7971-7977 (2018) · doi:10.1039/C8NR00471D
[51] Li, W.; OuYang, Y.; Ma, G., Q-switched all-fiber laser with short pulse duration based on tungsten diselenide, Laser Phys, 28, 055104 (2018) · doi:10.1088/1555-6611/aa9e38
[52] Liu, M.; Liu, WJ; Yan, P., High-power MoTe_2-based passively Q-switched erbium-doped fiber laser, Chin Opt Lett, 16, 020007 (2018) · doi:10.3788/COL201816.020007
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