Optical Solitons in Metamaterials Dominated by Anti-cubic Nonlinearity and Hamiltonian Perturbations

被引：0
|
作者：
Al-Ghafri K.S. [1 ]
Krishnan E.V. [2 ]
机构：
[1] College of Applied Sciences, Ministry of Higher Education, P.O. Box 14, Ibri
[2] Department of Mathematics, Sultan Qaboos University, P.O.Box 36, Al-Khod, Muscat
来源：
International Journal of Applied and Computational Mathematics | 2020年 / 6卷 / 5期
关键词：
Anti-cubic nonlinearity; Hamiltonian perturbations; Nonlinear Schrödinger equation; Optical solitons;
D O I：
10.1007/s40819-020-00896-1
中图分类号：
学科分类号：
摘要：
The present work discusses solitons and other solutions to nonlinear Schrödinger equation in metamaterials with nonlinear influence of non-Kerr law type. The nonlinearity of metamaterials is assumed to be because of anti-cubic law. Some perturbation terms of Hamiltonian type are considered in the governing model. The study has been carried out with the aid of four integration schemes to extract an exact analytic wave solutions. Numerous structures of optical solitons and other solutions are derived. The restrictions for the existence of exact solutions are given. © 2020, Springer Nature India Private Limited.
引用
收藏
相关论文
共 50 条
  • [1] Solitons in optical metamaterials with anti-cubic nonlinearity
    Anjan Biswas
    Mehmet Ekici
    Abdullah Sonmezoglu
    Qin Zhou
    Ali Saleh Alshomrani
    Seithuti P. Moshokoa
    Milivoj Belic
    [J]. The European Physical Journal Plus, 133
  • [2] Solitons in optical metamaterials with anti-cubic nonlinearity
    Biswas, Anjan
    Ekici, Mehmet
    Sonmezoglu, Abdullah
    Zhou, Qin
    Alshomrani, Ali Saleh
    Moshokoa, Seithuti P.
    Belic, Milivoj
    [J]. EUROPEAN PHYSICAL JOURNAL PLUS, 2018, 133 (05):
  • [3] Solitons in optical metamaterials with anti-cubic law of nonlinearity by ETEM and IGEM
    Foroutan, Mohammadreza
    Manafian, Jalil
    Ranjbaran, Arash
    [J]. JOURNAL OF THE EUROPEAN OPTICAL SOCIETY-RAPID PUBLICATIONS, 2018, 14
  • [4] Optical solitons in optical metamaterials with anti-cubic
    Zhang, Jian
    [J]. OPTIK, 2022, 251
  • [5] Resonant optical solitons with anti-cubic nonlinearity
    Biswas, Anjan
    Jawad, Anwar Ja'afar Mohamad
    Zhou, Qin
    [J]. OPTIK, 2018, 157 : 525 - 531
  • [6] Retrieval of Optical Solitons with Anti-Cubic Nonlinearity
    Ozisik, Muslum
    Secer, Aydin
    Bayram, Mustafa
    Biswas, Anjan
    Gonzalez-Gaxiola, Oswaldo
    Moraru, Luminita
    Moldovanu, Simona
    Iticescu, Catalina
    Bibicu, Dorin
    Alghamdi, Abdulah A. A.
    [J]. MATHEMATICS, 2023, 11 (05)
  • [7] Exact optical solitons in metamaterials with anti-cubic law of nonlinearity by Lie group method
    Kader, A. H. Abdel
    Latif, M. S. Abdel
    Zhou, Qin
    [J]. OPTICAL AND QUANTUM ELECTRONICS, 2019, 51 (01)
  • [8] BIFURCATIONS AND EXACT SOLUTIONS OF THE OPTICAL SOLITON MODEL IN METAMATERIALS DOMINATED BY ANTI-CUBIC NONLINEARITY
    Zhang, Qiuyan
    [J]. JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2022, 12 (04): : 1517 - 1531
  • [9] Exact optical solitons in metamaterials with anti-cubic law of nonlinearity by Lie group method
    A. H. Abdel Kader
    M. S. Abdel Latif
    Qin Zhou
    [J]. Optical and Quantum Electronics, 2019, 51
  • [10] Chirped solitons in optical metamaterials with anti-cubic law of nonlinearity by trial equation method
    Zhao, Ya-nan
    Jiang, Yu-hang
    [J]. JOURNAL OF OPTICS-INDIA, 2023,
12345