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Regular and Chaotic Dynamics, 2020, Volume 25, Issue 2, Pages 166–177
DOI: https://doi.org/10.1134/S1560354720020033 (Mi rcd1057) 		 
This article is cited in 31 scientific papers (total in 31 papers)

Conservation Laws for Highly Dispersive Optical Solitons in Birefringent Fibers

Anjan Biswasabcd, Abdul H. Karae, Qin Zhouf, Abdullah Kamis Alzahranib, Milivoj R. Belicg

a Department of Mathematics and Statistics, Tshwane University of Technology, Pretoria-0008, South Africa
b Department of Mathematics, King Abdulaziz University, Jeddah-21589, Saudi Arabia
c Department of Applied Mathematics, National Research Nuclear University MEPhI, Kashirskoe sh. 31, Moscow, 115409 Russia
d Department of Physics, Chemistry and Mathematics, Alabama A\&M University, Normal, AL 35762-4900, USA
e School of Mathematics, University of the Witwatersrand, Private Bag 3, Wits-2050, Johannesburg, South Africa
f School of Electronics and Information Engineering, Wuhan Donghu University, Wuhan-430212, People’s Republic of China
g Science Program, Texas A \& M University at Qatar, PO Box 23874, Doha, Qatar
Citations (31)
References:
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DOI: https://doi.org/10.1134/S1560354720020033
Abstract: This paper reports conservation laws for highly dispersive optical solitons in birefringent fibers. Three forms of nonlinearities are studied which are Kerr, polynomial and nonlocal laws. Power, linear momentum and Hamiltonian are conserved for these types of nonlinear refractive index.
Keywords: conservation laws, highly dispersive solitons, birefringent fibers.
Funding agency Grant number
National Priorities Research Program 11S-1126-170033
The research work of the fifth author (MRB) was supported by the grant NPRP 11S-1126-170033 from QNRF and he is thankful for it.
Received: 16.01.2020
Accepted: 03.03.2020
Bibliographic databases:
Document Type: Article
MSC: 78A60
Language: English
Citation: Anjan Biswas, Abdul H. Kara, Qin Zhou, Abdullah Kamis Alzahrani, Milivoj R. Belic, “Conservation Laws for Highly Dispersive Optical Solitons in Birefringent Fibers”, Regul. Chaotic Dyn., 25:2 (2020), 166–177
Citation in format AMSBIB
\Bibitem{BisKarZho20}
\by Anjan Biswas, Abdul H. Kara, Qin Zhou, Abdullah Kamis Alzahrani, Milivoj R. Belic
\paper Conservation Laws for Highly Dispersive Optical Solitons in Birefringent Fibers
\jour Regul. Chaotic Dyn.
\yr 2020
\vol 25
\issue 2
\pages 166--177
\mathnet{http://mi.mathnet.ru/rcd1057}
\crossref{https://doi.org/10.1134/S1560354720020033}
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85083251432}
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  • https://www.mathnet.ru/eng/rcd1057
  • https://www.mathnet.ru/eng/rcd/v25/i2/p166
    • This publication is cited in the following 31 articles:
    1. Mohammed Borg, Niveen M. Badra, Hamdy M. Ahmed, Wafaa B. Rabie, “Solitons behavior of Sasa-Satsuma equation in birefringent fibers with Kerr law nonlinearity using extended F-expansion method”, Ain Shams Engineering Journal, 15:1 (2024), 102290  crossref
    2. Salman A. AlQahtani, Mohamed E. M. Alngar, Reham M. A. Shohib, Abdulaziz M. Alawwad, “Enhancing the performance and efficiency of optical communications through soliton solutions in birefringent fibers”, J Opt, 2024  crossref
    3. Yalin He, Yue Kai, “Wave structures, modulation instability analysis and chaotic behaviors to Kudryashov's equation with third-order dispersion”, Nonlinear Dyn, 112:12 (2024), 10355  crossref
    4. Nikolay Kudryashov, Sofia Lavrova, Daniil Nifontov, “Analytical solutions and conservation laws of the generalized model for propagation pulses with four powers of nonlinearity”, Opt Quant Electron, 56:7 (2024)  crossref
    5. Mina M. Fahim, Hamdy M. Ahmed, K. A. Dib, Islam Samir, “Derivation of dispersive solitons with quadrupled power law of nonlinearity using improved modified extended tanh function method”, J Opt, 2024  crossref
    6. Nikolay A. Kudryashov, “Conservation laws of a generalized model for propagation pulses with four power nonlinearities”, Optik, 2024, 170797  crossref
    7. Anwar Ja'afar Mohamad Jawad, Yakup Yildirim, Layth Hussein, Anjan Biswas, “Sequel to “Highly dispersive optical solitons with differential group delay for kerr law of self—phase modulation by sardar sub—equation approach”: non—local law of self—phase modulation”, J Opt, 2024  crossref
    8. Mohamed E. M. Alngar, Reham. M. A. Shohib, Yakup Y{\i}ld{\i}r{\i}m, Layth Hussein, Anwar Ja'afar Mohamad Jawad, Seithuti P. Moshokoa, Anjan Biswas, “Highly dispersive optical solitons with polarization-mode dispersion for polynomial law of self-phase modulation”, J Opt, 2024  crossref
    9. D. R. Nifontov, N. A. Kudryashov, “ZAKONY SOKhRANENIYa, PERVYE INTEGRALY I KONSERVATIVNYE PLOTNOSTI OBOBSchENNOGO NELINEINOGO URAVNENIYa GERDZhIKOVA–IVANOVA”, Vestnik, 13:6 (2024), 380  crossref
    10. Manar Ahmed, Afaf Zaghrout, Hamdy M. Ahmed, “Construction of solitons and other solutions for NLSE with Kudryashov's generalized nonlinear refractive index”, Alexandria Engineering Journal, 64 (2023), 391  crossref
    11. Nikolay A. Kudryashov, “Conservation laws and Hamiltonian of the nonlinear Schrödinger equation of the fourth order with arbitrary refractive index”, Optik, 286 (2023), 170993  crossref
    12. Ravindra Yadav, Sandeep Malik, Sachin Kumar, Rajesh Sharma, Anjan Biswas, Yakup Y{\i}ld{\i}r{\i}m, O. González-Gaxiola, Luminita Moraru, Abdulah A. Alghamdi, “Highly dispersive W–shaped and other optical solitons with quadratic–cubic nonlinearity: Symmetry analysis and new Kudryashov's method”, Chaos, Solitons & Fractals, 173 (2023), 113675  crossref
    13. Muslum Ozisik, Aydin Secer, Mustafa Bayram, “On the investigation of chiral solitons via modified new Kudryashov method”, Int. J. Geom. Methods Mod. Phys., 20:07 (2023)  crossref
    14. Nikolay A. Kudryashov, Daniil R. Nifontov, “Conservation laws and Hamiltonians of the mathematical model with unrestricted dispersion and polynomial nonlinearity”, Chaos, Solitons & Fractals, 175 (2023), 114076  crossref
    15. Gonzalez-Gaxiola O., Biswas A., Ekici M., Khan S., “Highly Dispersive Optical Solitons With Quadratic-Cubic Law of Refractive Index By the Variational Iteration Method”, J. Opt.-India, 51:1 (2022), 29–36  crossref  isi  scopus
    16. O. González-Gaxiola, Anjan Biswas, Yakup Yildirim, Hashim M. Alshehri, “Highly dispersive optical solitons in birefringent fibers having Kerr law of refractive index by Laplace–Adomian decomposition”, Optik, 257 (2022), 168788  crossref
    17. Tarek A. Khalil, Niveen Badra, Hamdy M. Ahmed, Wafaa B. Rabie, “Optical solitons and other solutions for coupled system of nonlinear Biswas–Milovic equation with Kudryashov's law of refractive index by Jacobi elliptic function expansion method”, Optik, 253 (2022), 168540  crossref
    18. O. González-Gaxiola, Anjan Biswas, Qin Zhou, Hashim M. Alshehri, “Numerical study of highly dispersive optical solitons with differential group delay having quadratic-cubic law of refractive index by Laplace–Adomian decomposition”, J. Nonlinear Optic. Phys. Mat., 31:03 (2022)  crossref
    19. Hashim M. Alshehri, Ahmed M. Alshehri, Abdullah N. Alshreef, Abdul H. Kara, Anjan Biswas, Yakup Y{\i}ld{\i}r{\i}m, “Conservation laws of optical solitons with quadrupled power-law of self-phase modulation”, Optik, 271 (2022), 170132  crossref
    20. Ahmed H. Arnous, Anjan Biswas, Abdul H. Kara, Yakup Y{\i}ld{\i}r{\i}m, Hashim M. Alshehri, Milivoj R. Belic, “Highly dispersive optical solitons and conservation laws in absence of self–phase modulation with new Kudryashov's approach”, Physics Letters A, 431 (2022), 128001  crossref
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