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Optical solitons in birefringent fibers with parabolic law nonlinearity

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Języki publikacji
EN
Abstrakty
EN
This paper studies the propagation of optical solitons through birefringent fibers with parabolic law nonlinearity. The Hamiltonian perturbations that are inter-modal dispersion, self-steepening, third-order dispersion and nonlinear dispersions are taken into account. Both, Riccati equation expansion method and Jacobian elliptic equation expansion method are used. Finally, analytical solutions that are Jacobian elliptic periodic traveling wave solutions, periodic solutions, unbounded solutions, singular solutions, bright and dark soliton solutions are obtained under several constraint conditions.
Czasopismo
Rocznik
Strony
399--409
Opis fizyczny
Bibliogr. 20 poz., tab.
Twórcy
autor
  • School of Electronics and Information Engineering, Wuhan Donghu University, Wuhan, 430212, P.R. China
  • School of Physics and Technology, Wuhan University, Wuhan, 430072, P.R. China
autor
  • School of Electronics and Information Engineering, Wuhan Donghu University, Wuhan, 430212, P.R. China
autor
  • Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah-21589, Saudi Arabia
Bibliografia
  • [1] BISWAS A., KONAR S., Introduction to Non-Kerr Law Optical Solitons, Boca Raton, FL, 2006.
  • [2] QIN ZHOU, DUANZHENG YAO, XIAONA LIU, FANG CHEN, SIJING DING, YAFANG ZHANG, FENG CHEN, Exact solitons in three-dimensional weakly nonlocal nonlinear time-modulated parabolic law media, Optics and Laser Technology 51, 2013, pp. 32–35.
  • [3] QIN ZHOU, DUANZHENG YAO, FANG CHEN, WEIWEI LI, Optical solitons in gas-filled, hollow-core photonic crystal fibers with inter-modal dispersion and self-steepening, Journal of Modern Optics 60(10), 2013, pp. 854–859.
  • [4] AGRAWAL G.P., Nonlinear Fiber Optics, New York, 2007
  • [5] PAN WANG, BO TIAN, YAN JIANG, YU-FENG WANG, Integrability and soliton solutions for an inhomogeneous generalized fourth-order nonlinear Schrödinger equation describing the inhomogeneous alpha helical proteins and Heisenberg ferromagnetic spin chains, Physica B: Condensed Matter 411, 2013, pp. 166–172.
  • [6] SAVESCU M., ALSHAERY A.A., BHRAWY A.H., HILAL E.M., MORARU L., BISWAS A., Optical solitons in birefringent fibers with coupled Hirota equation and spatio-temporal dispersion, Wulfenia 21(1), 2014, pp. 35–43.
  • [7] MILOVIĆ D., BISWAS A., Bright and dark solitons in optical fibers with parabolic law nonlinearity, Serbian Journal of Electrical Engineering 10(3), 2013, pp. 365–370.
  • [8] BHRAWY A.H., ALSHAERY A.A., HILAL E.M., SAVESCU M., MILOVIĆ D., KHAN K.R., MAHMOOD M.F., JOVANOSKI Z., BISWAS A., Optical solitons in birefringent fibers with spatio-temporal dispersion, Optik – International Journal for Light and Electron Optics 125(17), 2014, pp. 4935–4944.
  • [9] BISWAS A., KHAN K.R., RAHMAN A., YILDIRIM A., HAYAT T., ALDOSSARY O.M., Bright and dark optical solitons in birefringent fibers with Hamiltonian perturbations and Kerr law nonlinearity, Journal of Optoelectronics and Advanced Materials 14(7–8), 2012, pp. 571–576.
  • [10] MENYUK C.R., Stability of solitons in birefringent optical fibers. I: Equal propagation amplitudes, Optics Letters 12(8), 1987, pp. 614–616.
  • [11] BARAD Y., SILBERBERG Y., Polarization evolution and polarization instability of solitons in a birefringent optical fiber, Physical Review Letters 78(17), 1997, p. 3290.
  • [12] MANI RAJAN M.S., HAKKIM J., MAHALINGAM A., UTHAYAKUMAR A., Dispersion management and cascade compression of femtosecond nonautonomous soliton in birefringent fiber, The European Physical Journal D 67(7), 2013, article 150.
  • [13] YAN JIANG, BO TIAN, WEN-JUN LIU, KUN SUN, PAN WANG, Mixed-type solitons for the coupled higher- -order nonlinear Schrödinger equations in multi-mode and birefringent fibers, Journal of Modern Optics 60(8), 2013, pp. 629–636.
  • [14] ISLAM M.N., POOLE C.D., GORDON J.P., Soliton trapping in birefringent optical fibers, Optics Letters 14(18), 1989, pp. 1011–1013.
  • [15] VITANOV N.K., Application of simplest equations of Bernoulli and Riccati kind for obtaining exact traveling-wave solutions for a class of PDEs with polynomial nonlinearity, Communications in Nonlinear Science and Numerical Simulation 15(8), 2010, pp. 2050–2060.
  • [16] QI WANG, YONG CHEN, HONGQING ZHANG, A new Riccati equation rational expansion method and its application to (2+1)-dimensional Burgers equation, Chaos, Solitons and Fractals 25(5), 2005, pp. 1019–1028.
  • [17] ZHENYA YAN, The Riccati equation with variable coefficients expansion algorithm to find more exact solutions of nonlinear differential equations, Computer Physics Communications 152(1), 2003, pp. 1–8.
  • [18] BELIĆ M., PETROVIĆ N., WEI-PING ZHONG, RUI-HUA XIE, GOONG CHEN, Analytical light bullet solutions to the generalized (3+1)-dimensional nonlinear Schrödinger equation, Physical Review Letters 101(12), 2008, article 123904.
  • [19] QIN ZHOU, DUANZHENG YAO, FANG CHEN, Analytical study of optical solitons in media with Kerr and parabolic-law nonlinearities, Journal of Modern Optics 60(19), 2013, pp. 1652–1657.
  • [20] QIN ZHOU, DUAN-ZHENG YAO, ZHIHAI CUI, Exact solutions of the cubic-quintic nonlinear optical transmission equation with higher-order dispersion terms and self-steepening term, Journal of Modern Optics 59(1), 2012, pp. 57–60.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-ea88b2ad-8298-43a2-bdcb-cac9eaf81de8
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