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Optical soliton perturbation, group invariants and conservation laws of perturbed Fokas–Lenells equation

Author

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  • Bansal, Anupma
  • Kara, A.H.
  • Biswas, Anjan
  • Moshokoa, Seithuti P.
  • Belic, Milivoj

Abstract

This paper obtains bright, dark and singular optical soliton solutions to the perturbed Fokas-Lenells equation by the aid of Lie symmetry analysis. The conserved laws are also retrieved and finally the conserved quantities are computed from these densities.

Suggested Citation

  • Bansal, Anupma & Kara, A.H. & Biswas, Anjan & Moshokoa, Seithuti P. & Belic, Milivoj, 2018. "Optical soliton perturbation, group invariants and conservation laws of perturbed Fokas–Lenells equation," Chaos, Solitons & Fractals, Elsevier, vol. 114(C), pages 275-280.
    • Handle: RePEc:eee:chsofr:v:114:y:2018:i:c:p:275-280
    DOI: 10.1016/j.chaos.2018.06.030
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    Cited by:

    1. Musrrat Ali & Hemant Gandhi & Amit Tomar & Dimple Singh, 2023. "Similarity Solution for a System of Fractional-Order Coupled Nonlinear Hirota Equations with Conservation Laws," Mathematics, MDPI, vol. 11(11), pages 1-14, May.
    2. Arnous, Ahmed H. & Biswas, Anjan & Yıldırım, Yakup & Zhou, Qin & Liu, Wenjun & Alshomrani, Ali S. & Alshehri, Hashim M., 2022. "Cubic–quartic optical soliton perturbation with complex Ginzburg–Landau equation by the enhanced Kudryashov’s method," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).
    3. Sil, Subhankar & Raja Sekhar, T. & Zeidan, Dia, 2020. "Nonlocal conservation laws, nonlocal symmetries and exact solutions of an integrable soliton equation," Chaos, Solitons & Fractals, Elsevier, vol. 139(C).
    4. Bansal, Anupma & Kara, Abdul H. & Biswas, Anjan & Khan, Salam & Zhou, Qin & Moshokoa, Seithuti P., 2019. "Optical solitons and conservation laws with polarization–mode dispersion for coupled Fokas–Lenells equation using group invariance," Chaos, Solitons & Fractals, Elsevier, vol. 120(C), pages 245-249.
    5. Kumar, Sachin & Malik, Sandeep & Biswas, Anjan, 2020. "A re-visitation to reported results on optical solitons," Chaos, Solitons & Fractals, Elsevier, vol. 137(C).
    6. Triki, Houria & Zhou, Qin & Liu, Wenjun & Biswas, Anjan & Moraru, Luminita & Yıldırım, Yakup & Alshehri, Hashim M. & Belic, Milivoj R., 2022. "Chirped optical soliton propagation in birefringent fibers modeled by coupled Fokas-Lenells system," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).

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