OPTICAL SOLITONS WITH PARABOLIC AND DUAL-POWER LAW NONLINEARITY VIA LIE SYMMETRY ANALYSIS

被引：33
|
作者：
Khalique, C. M. [1 ]
Biswas, A. [1 ,2 ]
机构：
[1] Northwest Univ, Dept Math Sci, Int Inst Symmetry Anal & Math Modeling, ZA-2735 Mmabatho, South Africa
[2] Delaware State Univ, Dept Appl Math & Theoret Phys, Ctr Res & Educ Opt Sci & Applicat, Dover, DE 19901 USA
来源：
JOURNAL OF ELECTROMAGNETIC WAVES AND APPLICATIONS | 2009年 / 23卷 / 07期
关键词：
CROSS-SECTION; DISPERSION; SCATTERING; FIBER; PERTURBATION;
D O I：
10.1163/156939309788355270
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
This paper studies optical solitons by the method of Lie group analysis. The stationary 1-soliton solution is obtained for the nonlinear Schrodinger's equation with parabolic and dual-power law nonlinearity.
引用
收藏
页码：963 / 973
页数：11
相关论文
共 50 条
  • [31] Optical solitons with Biswas-Milovic equation for power law and dual-power law nonlinearities
    Eslami, M.
    Mirzazadeh, M.
    NONLINEAR DYNAMICS, 2016, 83 (1-2) : 731 - 738
  • [32] Dark optical solitons and conservation laws for parabolic and dual-power law nonlinearities in (2+1)-dimensions
    Triki, Houria
    Lepule, S.
    Love, A.
    Kara, Abdul Hamid
    Biswas, Anjan
    OPTIK, 2014, 125 (12): : 2784 - 2792
  • [33] On optical solitons of the resonant Schrodinger's equation in optical fibers with dual-power law nonlinearity and time-dependent coefficients
    Kilic, Bulent
    Inc, Mustafa
    WAVES IN RANDOM AND COMPLEX MEDIA, 2015, 25 (03) : 334 - 341
  • [34] Dispersive optical solitons with Biswas-Milovic equation having dual-power law nonlinearity and multiplicative white noise via Ito calculus
    Zayed, Elsayed M. E.
    Shohib, Reham M. A.
    Alngar, Mohamed E. M.
    OPTIK, 2022, 270
  • [35] Grey-Black Optical Solitons, Homoclinic Breather, Combined Solitons via Chupin Liu's Theorem for Improved Perturbed NLSE with Dual-Power Law Nonlinearity
    Rizvi, Syed T. R.
    Seadawy, Aly R.
    Alsallami, Shami A. M.
    MATHEMATICS, 2023, 11 (09)
  • [36] Structure of optical solitons in magneto–optic waveguides with dual-power law nonlinearity using modified extended direct algebraic method
    Hamdy M. Ahmed
    Wafaa B. Rabie
    Optical and Quantum Electronics, 2021, 53
  • [37] Resonant optical solitons with parabolic and dual-power laws by semi-inverse variational principle
    Biswas, Anjan
    Zhou, Qin
    Triki, Houria
    Ullah, Malik Zaka
    Asma, Mir
    Moshokoa, Seithuti P.
    Belic, Milivoj
    JOURNAL OF MODERN OPTICS, 2018, 65 (02) : 179 - 184
  • [38] Thirring solitons in optical fibers with parabolic law nonlinearity
    Savescu M.
    Alkhateeb S.A.
    Banaja M.A.
    Alshaery A.A.
    Hilal E.M.
    Milovic D.
    Biswas A.
    Journal of Computational and Theoretical Nanoscience, 2016, 13 (07) : 4656 - 4659
  • [39] Optical solitons in birefringent fibers with parabolic law nonlinearity
    Zhou, Qin
    Zhu, Qiuping
    Biswas, Anjan
    OPTICA APPLICATA, 2014, 44 (03) : 399 - 409
  • [40] Self-similar solitons in optical waveguides with dual-power law refractive index
    Triki, Houria
    Biswas, Anjan
    Alshomrani, Ali Saleh
    Zhou, Qin
    Ekici, Mehmet
    Belic, Milivoj R.
    LASER PHYSICS, 2019, 29 (07)
12345