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Optical soliton perturbation with polynomial and triple-power laws of refractive index by semi-inverse variational principle

Author

Listed:
  • Kohl, Russell W.
  • Biswas, Anjan
  • Zhou, Qin
  • Ekici, Mehmet
  • Alzahrani, Abdullah Kamis
  • Belic, Milivoj R.

Abstract

This paper secures perturbed bright 1–soliton solution with polynomial and triple–power law nonlinearities. These are dispersive solitons that come with third and fourth order dispersions. The application of semi–inverse variational principle leads to the analytic closed–form expression for such a soliton with necessary parameter restrictions for them to exist and sustain.

Suggested Citation

  • Kohl, Russell W. & Biswas, Anjan & Zhou, Qin & Ekici, Mehmet & Alzahrani, Abdullah Kamis & Belic, Milivoj R., 2020. "Optical soliton perturbation with polynomial and triple-power laws of refractive index by semi-inverse variational principle," Chaos, Solitons & Fractals, Elsevier, vol. 135(C).
    • Handle: RePEc:eee:chsofr:v:135:y:2020:i:c:s0960077920301673
    DOI: 10.1016/j.chaos.2020.109765
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    References listed on IDEAS

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    1. Zhang, Juan & Yu, Jian-Yong & Pan, Ning, 2005. "Variational principles for nonlinear fiber optics," Chaos, Solitons & Fractals, Elsevier, vol. 24(1), pages 309-311.
    2. Liu, W.Y. & Yu, Y.J. & Chen, L.D., 2007. "Variational principles for Ginzburg–Landau equation by He’s semi-inverse method," Chaos, Solitons & Fractals, Elsevier, vol. 33(5), pages 1801-1803.
    3. Li Yao & Yun-Jie Yang & Xing-Wei Zhou, 2013. "A Note on the Semi-Inverse Method and a Variational Principle for the Generalized KdV-mKdV Equation," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-3, March.
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    Cited by:

    1. Islam Samir & Ahmed H. Arnous & Yakup Yıldırım & Anjan Biswas & Luminita Moraru & Simona Moldovanu, 2022. "Optical Solitons with Cubic-Quintic-Septic-Nonic Nonlinearities and Quadrupled Power-Law Nonlinearity: An Observation," Mathematics, MDPI, vol. 10(21), pages 1-9, November.

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