Optical solitons and conservation laws with anti-cubic nonlinearity

被引：32
|
作者：
Triki, Houria [1 ]
Kara, Abdul H. [2 ,3 ]
Biswas, Anjan [4 ,5 ]
Moshokoa, Seithuti P. [4 ]
Belic, Milivoj [6 ]
机构：
[1] Badji Mokhtar Univ, Dept Phys, Radiat Phys Lab, Fac Sci, POB 12, Annaba 23000, Algeria
[2] Univ Witwatersrand, Sch Math, ZA-2050 Johannesburg, South Africa
[3] Fahd Univ Petr & Minerals, Dept Math & Stat, Dhahran 31261, Saudi Arabia
[4] Tshwane Univ Technol, Dept Math & Stat, ZA-0008 Pretoria, South Africa
[5] King Abdulaziz Univ, Dept Math, Fac Sci, Jeddah 80203, Saudi Arabia
[6] Texas A&M Univ Qatar, Sci Program, Box 23874, Doha, Qatar
来源：
OPTIK | 2016年 / 127卷 / 24期
关键词：
Solitons; Anti-cubic nonlinearity; Conservation laws; EQUATION;
D O I：
10.1016/j.ijleo.2016.09.122
中图分类号：
O43 [光学];
学科分类号：
070207 ; 0803 ;
摘要：
This paper obtains bright, dark and singular 1-soliton solution to nonlinear Schrodinger's equation that is studied with anti-cubic nonlinearity for optical fibers. The traveling wave hypothesis leads to implicit solution in terms of elliptic functions. The method of undetermined coefficients yields explicit single soliton solutions. Finally, a comprehensive discussion on conservation laws closes the chapter. (C) 2016 Elsevier GmbH. All rights reserved.
引用
收藏
页码：12056 / 12062
页数：7
相关论文
共 50 条
  • [1] Conservation laws for optical solitons with anti-cubic and generalized anti-cubic nonlinearities
    Biswas, Anjan
    [J]. OPTIK, 2019, 176 : 198 - 201
  • [2] 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
  • [3] Resonant optical solitons with anti-cubic nonlinearity
    Biswas, Anjan
    Jawad, Anwar Ja'afar Mohamad
    Zhou, Qin
    [J]. OPTIK, 2018, 157 : 525 - 531
  • [4] 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):
  • [5] 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)
  • [6] Optical solitons of the model with generalized anti-cubic nonlinearity
    Kudryashov, Nikolay A.
    [J]. OPTIK, 2022, 257
  • [7] Optical solitons with anti-cubic nonlinearity by mapping methods
    Krishnan, E., V
    Biswas, Anjan
    Zhou, Qin
    Babatin, M. M.
    [J]. OPTIK, 2018, 170 : 520 - 526
  • [8] Conservation Laws for Solitons in Magneto-optic Waveguides with Anti-cubic and Generalized Anti-cubic Nonlinearities
    Anjan Biswas
    Abdul H. Kara
    Mehmet Ekici
    Elsayed M. E.
    Abdullah K. Alzahrani
    Milivoj R. Belic
    [J]. Regular and Chaotic Dynamics, 2021, 26 : 456 - 461
  • [9] Conservation Laws for Solitons in Magneto-optic Waveguides with Anti-cubic and Generalized Anti-cubic Nonlinearities
    Biswas, Anjan
    Kara, Abdul H.
    Ekici, Mehmet
    Zayed, Elsayed M. E.
    Alzahrani, Abdullah K.
    Belic, Milivoj R.
    [J]. REGULAR & CHAOTIC DYNAMICS, 2021, 26 (04): : 456 - 461
  • [10] Optical solitons with generalized anti-cubic nonlinearity by Lie symmetry
    Kumar, Sachin
    Malik, Sandeep
    Biswas, Anjan
    Yildirim, Yakup
    Alshomrani, Ali Saleh
    Belic, Milivoj R.
    [J]. OPTIK, 2020, 206
12345