IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v199y2025ip2s0960077925007556.html

Replica Symmetry Breaking in higher-order optical soliton fission

Author

Listed:
  • Palacios, G.
  • Raposo, Ernesto P.
  • Amaral, Anderson M.
  • Acioli, Lúcio H.
  • Falcão-Filho, Edilson L.
  • de Araújo, Cid B.
  • Siqueira, André C.A.

Abstract

We investigate the statistical properties of higher-order soliton fission resulting from the propagation of partially coherent input pulses, based on numerical solutions of the one-dimensional Nonlinear Schrödinger Equation (NLSE). The findings reveal a frustrating competition for energy among the multiple solitons generated during the fission process, characterized by spin-glass-like correlations and supported by the manifestation of Replica Symmetry Breaking (RSB) in the temporal profile of the propagating pulse. This behavior arises from the interplay between nonlinear (NL) compression and random temporal phase fluctuations, which redistribute energy among the generated solitons while preserving the soliton order parameter. The evolution of the Parisi overlap parameter |qmax| shows a non-monotonic behavior: it gradually decays after successive fissions and re-emerges in a second RSB manifestation, reflecting transitions analogous to those observed in random lasers. These results provide key insights into pulse propagation dynamics in the presence of disorder, and open new avenues for controlling soliton interactions in NL optical systems, with potential applications in photonics and telecommunications.

Suggested Citation

  • Palacios, G. & Raposo, Ernesto P. & Amaral, Anderson M. & Acioli, Lúcio H. & Falcão-Filho, Edilson L. & de Araújo, Cid B. & Siqueira, André C.A., 2025. "Replica Symmetry Breaking in higher-order optical soliton fission," Chaos, Solitons & Fractals, Elsevier, vol. 199(P2).
    • Handle: RePEc:eee:chsofr:v:199:y:2025:i:p2:s0960077925007556
    DOI: 10.1016/j.chaos.2025.116742
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077925007556
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2025.116742?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to

    for a different version of it.

    References listed on IDEAS

    as
    1. Davide Pierangeli & Andrea Tavani & Fabrizio Di Mei & Aharon J. Agranat & Claudio Conti & Eugenio DelRe, 2017. "Observation of replica symmetry breaking in disordered nonlinear wave propagation," Nature Communications, Nature, vol. 8(1), pages 1-7, December.
    2. N. Ghofraniha & I. Viola & F. Di Maria & G. Barbarella & G. Gigli & L. Leuzzi & C. Conti, 2015. "Experimental evidence of replica symmetry breaking in random lasers," Nature Communications, Nature, vol. 6(1), pages 1-8, May.
    3. N. Ghofraniha & I. Viola & F. Di Maria & G. Barbarella & G. Gigli & L. Leuzzi & C. Conti, 2015. "Correction: Corrigendum: Experimental evidence of replica symmetry breaking in random lasers," Nature Communications, Nature, vol. 6(1), pages 1-1, May.
    4. D. R. Solli & C. Ropers & P. Koonath & B. Jalali, 2007. "Optical rogue waves," Nature, Nature, vol. 450(7172), pages 1054-1057, December.
    5. Mikko Närhi & Lauri Salmela & Juha Toivonen & Cyril Billet & John M. Dudley & Goëry Genty, 2018. "Machine learning analysis of extreme events in optical fibre modulation instability," Nature Communications, Nature, vol. 9(1), pages 1-11, December.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Kaiwen Ji & Qi Zhong & Li Ge & Gregoire Beaudoin & Isabelle Sagnes & Fabrice Raineri & Ramy El-Ganainy & Alejandro M. Yacomotti, 2023. "Tracking exceptional points above the lasing threshold," Nature Communications, Nature, vol. 14(1), pages 1-9, December.
    2. Rao, Jiguang & Kanna, T. & He, Jingsong, 2025. "The long-wave–short-wave resonance interaction model: Generalized higher-order semi-rational rogue wave solutions and their dynamics," Chaos, Solitons & Fractals, Elsevier, vol. 200(P3).
    3. Franchini, Simone, 2025. "A simplified Parisi Ansatz II: Random Energy Model universality," Chaos, Solitons & Fractals, Elsevier, vol. 191(C).
    4. Li, Liu-Qing & Gao, Yi-Tian & Yu, Xin & Ding, Cui-Cui & Wang, Dong, 2022. "Bilinear form and nonlinear waves of a (1+1)-dimensional generalized Boussinesq equation for the gravity waves over water surface," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 198(C), pages 494-508.
    5. Li, Li & Yu, Fajun, 2025. "Some mixed soliton wave interaction patterns and stabilities for Rabi-coupled nonlocal Gross–Pitaevskii equations," Chaos, Solitons & Fractals, Elsevier, vol. 194(C).
    6. Zhang, Yu & Li, Chuanzhong & He, Jingsong, 2016. "Rogue waves in a resonant erbium-doped fiber system with higher-order effects," Applied Mathematics and Computation, Elsevier, vol. 273(C), pages 826-841.
    7. Seadawy, Aly R. & Ali, Safdar & Rizvi, Syed T.R., 2022. "On modulation instability analysis and rogue waves in the presence of external potential: The (n + 1)-dimensional nonlinear Schrödinger equation," Chaos, Solitons & Fractals, Elsevier, vol. 161(C).
    8. Liu, Xue-Ke & Wang, Zhen & Du, Ruo-Chen & Wen, Xiao-Yong, 2025. "Rogue wave dynamics and energy spectra for the generalized Heisenberg spin chain equation," Chaos, Solitons & Fractals, Elsevier, vol. 198(C).
    9. Xi-zhong Liu & Zhi-Mei Lou & Xian-Min Qian & Lamine Thiam, 2019. "A Study on Lump and Interaction Solutions to a (3 + 1)-Dimensional Soliton Equation," Complexity, Hindawi, vol. 2019, pages 1-12, October.
    10. Sang, Xue & Dong, Huanhe & Fang, Yong & Liu, Mingshuo & Kong, Yuan, 2024. "Soliton, breather and rogue wave solutions of the nonlinear Schrödinger equation via Darboux transformation on a time–space scale," Chaos, Solitons & Fractals, Elsevier, vol. 184(C).
    11. Li, Lingfei & Yan, Yongsheng & Xie, Yingying, 2022. "Rational solutions with non-zero offset parameters for an extended (3 + 1)-dimensional BKP-Boussinesq equation," Chaos, Solitons & Fractals, Elsevier, vol. 160(C).
    12. Xu, Qibo & Yang, Hua & Yuan, Xiaofang & Huang, Longnv & Yang, Huailin & Zhang, Chi, 2024. "Rethinking deep learning for supercontinuum: Efficient modeling based on integrated and compressed networks," Chaos, Solitons & Fractals, Elsevier, vol. 184(C).
    13. Alexandra Völkel & Luca Nimmesgern & Adam Mielnik-Pyszczorski & Timo Wirth & Georg Herink, 2022. "Intracavity Raman scattering couples soliton molecules with terahertz phonons," Nature Communications, Nature, vol. 13(1), pages 1-6, December.
    14. Xu, Yun-Jie, 2023. "Vector ring-like combined Akhmediev breathers for partially nonlocal nonlinearity under external potentials," Chaos, Solitons & Fractals, Elsevier, vol. 177(C).
    15. Wang, Tingyou & Qin, Zhenyun & Mu, Gui & Zheng, Fuzhuang & Qiao, Zhijun, 2025. "Rogue wave patterns associated with Adler–Moser polynomials in the nonlocal nonlinear Schrödinger equation," Chaos, Solitons & Fractals, Elsevier, vol. 199(P3).
    16. Zhao, Yi-Di & Wang, Yu-Feng & Yang, Sheng-Xiong & Zhang, Xi & Chen, Yi-Xin, 2024. "Soliton, breather and rogue wave solutions of the higher-order modified Gerdjikov–Ivanov equation," Chaos, Solitons & Fractals, Elsevier, vol. 185(C).
    17. Chen, Yi-Xiang, 2024. "(3+1)-dimensional partially nonlocal ring-like bright-dark monster waves," Chaos, Solitons & Fractals, Elsevier, vol. 180(C).
    18. Zhang, Yi & Sun, YanBo & Xiang, Wen, 2015. "The rogue waves of the KP equation with self-consistent sources," Applied Mathematics and Computation, Elsevier, vol. 263(C), pages 204-213.
    19. Wei, Peng-Fei & Long, Chun-Xiao & Zhu, Chen & Zhou, Yi-Ting & Yu, Hui-Zhen & Ren, Bo, 2022. "Soliton molecules, multi-breathers and hybrid solutions in (2+1)-dimensional Korteweg-de Vries-Sawada-Kotera-Ramani equation," Chaos, Solitons & Fractals, Elsevier, vol. 158(C).
    20. Yue-jun Deng & Rui-yu Jia & Ji Lin, 2019. "Lump and Mixed Rogue-Soliton Solutions of the (2 + 1)-Dimensional Mel’nikov System," Complexity, Hindawi, vol. 2019, pages 1-9, November.

    More about this item

    Keywords

    ;
    ;
    ;

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:chsofr:v:199:y:2025:i:p2:s0960077925007556. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.