A numerical method for the Hirota equation in a dispersive optical media

被引:1
|
作者
Hontinfinde, Regis Donald [1 ,2 ]
Ayela, Marc Amour [3 ,4 ]
Edah, Gaston [3 ]
机构
[1] Natl Univ Sci Technol Engn & Math UNSTIM, Lab Sci Engn & Math LSIMA, Abomey, Benin
[2] Univ Abomey Calavi, Polytech Sch Abomey Calavi EPAC UAC, Photon & Digital Broadcasting Res Unit UR PHORAN, Abomey Calavi, Benin
[3] Univ Abomey Calavi, Fac Sci & Technol FAST, Abomey Calavi, Benin
[4] Univ Toulouse, Laplace, Toulouse INP, UPS, Toulouse, France
来源
JOURNAL OF OPTICS-INDIA | 2024年
关键词
Ultrashort pulse; Optical fiber propagation; Finite difference time-domain method; Periodic boundary conditions; CONCATENATION MODEL; SOLITONS; NONLINEARITY; BRIGHT;
D O I
10.1007/s12596-024-02100-9
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
In this study, the propagation of ultrashort optical pulses in the context of long-distance optical fiber communications is numerically investigated. The method used is the finite difference scheme in the third order time domain and periodic boundary conditions. As a result, the obtained discrete system of ordinary differential equations is solved numerically by the fourth-order Runge-Kutta algorithm. The proposed algorithm was tested on various input pulses. Precise results of temporal mappings are presented.
引用
收藏
页数:10
相关论文
共 50 条
  • [41] Highly dispersive optical soliton molecules to dual-mode nonlinear Schrödinger wave equation in cubic law media
    Bahadır Kopçasız
    Aly R. Seadawy
    Emrullah Yaşar
    Optical and Quantum Electronics, 2022, 54
  • [42] Stochastic dispersive Schrodinger-Hirota equation having parabolic law nonlinearity with multiplicative white noise via Ito calculus
    Cakicioglu, Hasan
    Ozisik, Muslum
    Secer, Aydin
    Bayram, Mustafa
    OPTIK, 2023, 279
  • [43] Localized wave solutions to a variable-coefficient coupled Hirota equation in inhomogeneous optical fiber
    Song, N.
    Shang, H. J.
    Zhang, Y. F.
    Ma, W. X.
    NONLINEAR DYNAMICS, 2023, 111 (06) : 5709 - 5720
  • [44] Optical solitons in birefringent fibers with Riccati equation method
    Mirzazadeh, Mohammad
    Mahmood, Mohammad F.
    Majid, Fayequa B.
    Biswas, Anjan
    Belic, Milivoj
    OPTOELECTRONICS AND ADVANCED MATERIALS-RAPID COMMUNICATIONS, 2015, 9 (7-8): : 1032 - 1036
  • [45] A numerical approach to blow-up issues for dispersive perturbations of Burgers' equation
    Klein, Christian
    Saut, Jean-Claude
    PHYSICA D-NONLINEAR PHENOMENA, 2015, 295 : 46 - 65
  • [46] Nonlinear optical dynamics and complex wave structures in nonlinear dispersive media
    Samina, Samina
    Munawar, Maham
    Ansari, Ali R.
    Jhangeer, Adil
    Wali, Samad
    SCIENTIFIC REPORTS, 2025, 15 (01):
  • [47] The traveling wave solution and dynamics analysis of the parabolic law nonlinear stochastic dispersive Schriidinger-Hirota equation with multiplicative white noise
    Liu, Chunyan
    Shi, Da
    Li, Zhao
    RESULTS IN PHYSICS, 2023, 54
  • [48] Radiating dispersive shock waves in non-local optical media
    El, Gennady A.
    Smyth, Noel F.
    PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2016, 472 (2187):
  • [49] Few-cycle optical solitary waves in nonlinear dispersive media
    Amiranashvili, Sh.
    Bandelow, U.
    Akhmediev, N.
    PHYSICAL REVIEW A, 2013, 87 (01):
  • [50] Dispersive optical soliton solutions for higher order nonlinear Sasa-Satsuma equation in mono mode fibers via new auxiliary equation method
    Khater, Mostafa M. A.
    Seadawy, Aly R.
    Lu, Dianchen
    SUPERLATTICES AND MICROSTRUCTURES, 2018, 113 : 346 - 358