Analytical solutions of the discrete nonlinear Schrodinger equation in arrays of optical fibers

被引：3
|
作者：
Bogning, JR [1 ]
Kofane, TC [1 ]
机构：
[1] Univ Yaounde I, Fac Sci, Lab Mech, Dept Phys, Yaounde, Cameroon
来源：
CHAOS SOLITONS & FRACTALS | 2006年 / 28卷 / 01期
关键词：
D O I：
10.1016/j.chaos.2005.04.121
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We find the analytical solutions of the discrete nonlinear Schrodinger equation which models arrays of optical fibers according to the fact that the signal which propagate in the fiber under consideration of the array can be prone to the lateness or accelerating effects of the neighbouring fibers. Firstly, we give the recurrence relation which governs the number of fiber "n" and secondly, we apply the projective Riccati method to achieve the resolution. (c) 2005 Elsevier Ltd. All rights reserved.
引用
收藏
页码：148 / 153
页数：6
相关论文
共 50 条
  • [1] Solitary wave for a nonintegrable discrete nonlinear Schrodinger equation in nonlinear optical waveguide arrays
    Ma, Li-Yuan
    Ji, Jia-Liang
    Xu, Zong-Wei
    Zhu, Zuo-Nong
    [J]. CHINESE PHYSICS B, 2018, 27 (03)
  • [2] Observation of doubly periodic solutions of the nonlinear Schrodinger equation in optical fibers
    Vanderhaegen, Guillaume
    Szriftgiser, Pascal
    Naveau, Corentin
    Kudlinski, Alexandre
    Conforti, Matteo
    Trillo, Stefano
    Akhmediev, Nail
    Mussot, Arnaud
    [J]. OPTICS LETTERS, 2020, 45 (13) : 3757 - 3760
  • [3] Solutions of the Discrete Nonlinear Schrodinger Equation with a Trap
    Likhachev, V. N.
    Vinogradov, G. A.
    [J]. THEORETICAL AND MATHEMATICAL PHYSICS, 2019, 201 (03) : 1771 - 1778
  • [4] Variational solutions for the discrete nonlinear Schrodinger equation
    Kaup, DJ
    [J]. MATHEMATICS AND COMPUTERS IN SIMULATION, 2005, 69 (3-4) : 322 - 333
  • [5] Analytical solutions of the nonlinear schrodinger equation with gain
    Harvey, JD
    Peacock, AC
    Kruglov, VI
    [J]. 2002 IEEE/LEOS ANNUAL MEETING CONFERENCE PROCEEDINGS, VOLS 1 AND 2, 2002, : 319 - 320
  • [6] New exact solutions for higher order nonlinear Schrodinger equation in optical fibers
    Eslami, Mostafa
    Neirameh, Ahmad
    [J]. OPTICAL AND QUANTUM ELECTRONICS, 2018, 50 (01)
  • [7] On global behavior for complex soliton solutions of the perturbed nonlinear Schrodinger equation in nonlinear optical fibers
    Osman, M. S.
    Almusawa, Hassan
    Tariq, Kalim U.
    Anwar, Sadia
    Kumar, Sachin
    Younis, Muhammad
    Ma, Wen-Xiu
    [J]. JOURNAL OF OCEAN ENGINEERING AND SCIENCE, 2022, 7 (05) : 431 - 443
  • [8] Resonant optical soliton solutions for time-fractional nonlinear Schrodinger equation in optical fibers
    Murad, Muhammad Amin Sadiq
    Ismael, Hajar F.
    Sulaiman, Tukur Abdulkadir
    [J]. JOURNAL OF NONLINEAR OPTICAL PHYSICS & MATERIALS, 2024,
  • [9] Multiple solutions for the nonhomogeneous discrete nonlinear Schrodinger equation
    Xie, Qilin
    [J]. APPLIED MATHEMATICS LETTERS, 2019, 91 : 144 - 150
  • [10] Exact solutions of the saturable discrete nonlinear Schrodinger equation
    Khare, A
    Rasmussen, KO
    Samuelsen, MR
    Saxena, A
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2005, 38 (04): : 807 - 814
12345