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The bound states of pure-quartic solitons

Author

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  • Dai, Jiaxin
  • Zeng, Jiali
  • Hu, Wei
  • Lu, Daquan

Abstract

In this paper, we quantitatively study the equilibrium bound state and the oscillating bound state of pure-quartic solitons (PQSs). Based on the Lagrangian of the system, we obtain the analytic expression of the effective interaction potential, which makes it convenient to predict the critical separation between the interacting PQSs in the equilibrium bound state. Furthermore, we study the oscillation period of PQSs in the oscillating bound state by making an analogy between the evolution of PQS pair and the motion of the Newtonian particle in a potential well. The effective mass and the effective force are derived, and thereby the semianalytic expression of the oscillation period is obtained. The results are useful for gaining a physical insight into the evolution of the interacting PQSs in the two types of bound states.

Suggested Citation

  • Dai, Jiaxin & Zeng, Jiali & Hu, Wei & Lu, Daquan, 2022. "The bound states of pure-quartic solitons," Chaos, Solitons & Fractals, Elsevier, vol. 165(P2).
    • Handle: RePEc:eee:chsofr:v:165:y:2022:i:p2:s0960077922010463
    DOI: 10.1016/j.chaos.2022.112867
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    References listed on IDEAS

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    1. Z. Q. Wang & K. Nithyanandan & A. Coillet & P. Tchofo-Dinda & Ph. Grelu, 2019. "Optical soliton molecular complexes in a passively mode-locked fibre laser," Nature Communications, Nature, vol. 10(1), pages 1-11, December.
    2. Andrea Blanco-Redondo & C. Martijn de Sterke & J.E. Sipe & Thomas F. Krauss & Benjamin J. Eggleton & Chad Husko, 2016. "Pure-quartic solitons," Nature Communications, Nature, vol. 7(1), pages 1-9, April.
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    Cited by:

    1. Zhang, Xunbo & Zou, Defeng & Liu, Runmin & Lv, Jinqian & Hu, Minglie & Shum, Perry Ping & Song, Youjian, 2024. "From breather solitons to chaos in an ultrafast laser: The scenario of cascading short and long-period pulsations," Chaos, Solitons & Fractals, Elsevier, vol. 182(C).

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