Breathing dynamics of dissipative pure quartic soliton molecules via spectral filtering effects

doi:10.1088/1674-1056/adf1eb

Abstract Although dissipative pure quartic solitons (DPQSs) stabilized by fourth-order dispersion (FOD) and nonlinearity are widely studied, their multi-soliton dynamics in positive FOD remain underexplored. Here, we study the impact of saturation energy and filter bandwidth on breathing DPQS molecules numerically. Our findings indicate that complementary breathing DPQS molecules exchange energy through oscillating tails, exhibiting simultaneously temporal oscillations and spectral shifting. By adjusting cavity parameters, we demonstrate that the state of breathing soliton molecules is inherently governed by time separation. These findings deepen the comprehension of multi-soliton interactions and nonlinear phenomena.

Keywords: dissipative pure-quartic soliton soliton molecule breathing soliton oscillating tails

Received: 28 May 2025
Revised: 14 July 2025
Accepted manuscript online: 19 July 2025

PACS:	42.65.Sf	(Dynamics of nonlinear optical systems; optical instabilities, optical chaos and complexity, and optical spatio-temporal dynamics)
	42.65.Tg	(Optical solitons; nonlinear guided waves)
	42.55.Wd	(Fiber lasers)
	42.60.Fc	(Modulation, tuning, and mode locking)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 62175116).

Corresponding Authors: Zu-Xing Zhang
E-mail: zxzhang@njupt.edu.cn

Cite this article:

Chun-Ting Liu(刘春廷), Jun-You Lu(卢俊佑), Han-Yang Shen(申翰阳), and Zu-Xing Zhang(张祖兴) Breathing dynamics of dissipative pure quartic soliton molecules via spectral filtering effects 2026 Chin. Phys. B 35 034205

[1] Busch T and Anglin J R 2001 Phys. Rev. Lett. 87 010401
[2] Musslimani Z H, Makris K G, El-Ganainy R and Christodoulides D N 2008 Phys. Rev. Lett. 100 030402
[3] Strecker K E, Partridge G B, Truscott A G and Hulet R G 2002 Nature 417 150
[4] Seadawy A R 2012 Appl. Math. Lett. 25 687
[5] Yi X, Yang Q F, Yang K Y, Suh M G and Vahala K 2015 Optica 2 1078
[6] Herr T, Brasch V, Jost J D, Wang C Y, Kondratiev N M, Gorodetsky M L and Kippenberg T J 2014 Nat. Photon. 8 145
[7] Zhang Z X, Wu J, Xu K and Lin J T 2009 Laser Technol. 33 548
[8] Keller U, Weingarten K J, Kartner F X, Kopf D, Braun B, Jung I D, Fluck R, Honninger C, Matuschek N and derAu J A 1996 IEEE J. Sel. Top. Quantum Electron. 2 435
[9] Lukin D M, White A D, Trivedi R, Guidry M A, Morioka N, Babin C, Soykal O O, Ul-Hassan J, Son N T, Ohshima T, Vasireddy P K, Nasr M H, Sun S, MacLean J P W, Dory C, Nanni E A, Wrachtrup J, Kaiser F and Vuckovic J 2020 npj Quantum Inf. 6 80
[10] Kippenberg T J, Holzwarth R and Diddams S A 2011 Science 332 555
[11] Del’Haye P, Schliesser A, Arcizet O, Wilken T, Holzwarth R and Kippenberg T J 2007 Nature 450 1214
[12] Mollenauer L F, Stolen R H and Gordon J P 1980 Phys. Rev. Lett. 45 1095
[13] Grelu P and Akhmediev N 2012 Nat. Photon. 6 84
[14] Qian Z C, Liu M, Luo A P, Luo Z C and XuWC 2022 Opt. Express 30 22066
[15] Wang Z Q, Nithyanandan K, Coillet A, Tchofo-Dinda P and Grelu P 2019 Nat. Commun. 10 830
[16] Finot C, Provost L, Petropoulos P and Richardson D J 2007 Opt. Express 15 852
[17] Matsas V J, Newson T P, Richardson D J and Payne D N 1992 Electron. Lett. 28 1391
[18] Peng J, Boscolo S, Zhao Z and Zeng H 2019 Sci. Adv. 5 eaax1110
[19] Ablowitz M J and Musslimani Z H 2013 Phys. Rev. Lett. 110 064105
[20] Lucas E, Karpov M, Guo H, GorodetskyML and Kippenberg T J 2017 Nat. Commun. 8 736
[21] Wang X, Liu Y G, Wang Z, Yue Y, He J, Mao B, He R and Hu J 2019 Opt. Express 27 17729
[22] Akhmediev N, Soto-Crespo J M and Town G 2001 Phys. Rev. E 63 056602
[23] Soto-Crespo J M, Akhmediev N and Ankiewicz A 2000 Phys. Rev. Lett. 85 2937
[24] Yang S, Zhu Z, Qi Y, Jin L, Li L and Lin X 2023 Chaos, Solitons and Fractals 172 113544
[25] Zhang Z X, Luo M, Chen J X, Chen L H, Liu M, Luo A P, XuWC and Luo Z C 2022 Opt. Lett. 47 1750
[26] Latas S C V and Ferreira M F S 2011 Opt. Lett. 36 3085
[27] Latas S C V and Ferreira M F S 2010 Opt. Lett. 35 1771
[28] Song L J, Li L, Li Z G and Zhou G S 2005 Opt. Commun. 249 301
[29] Crasovan L C, Malomed B A and Mihalache D 2001 Phys. Lett. A 289 59
[30] Shen H, Zhou R and Zhang Z 2024 Chaos, Solitons and Fractals 185 115110
[31] He C, Zhu Z, Yang S, Wang N, Yang Y and Lin X 2024 Opt. Express 32 11895
[32] Zhu Z, Yang S, He C and Lin X 2023 Opt. Express 31 35529
[33] Blanco-Redondo A, Martijn d S C, Sipe J E, Krauss T F, Eggleton B J and Husko C 2016 Nat. Commun. 7 10427
[34] Runge A F J, Hudson D D, Tam K K K, de Sterke C M and Blanco- Redondo A 2020 Nat. Photon. 14 492
[35] Zhang Z X, Luo M, Liu J H, Yang Y T, Li T J, Liu M, Luo A P, Xu W C and Luo Z C 2024 Nat. Commun. 15 6148
[36] Han Y, Gao B, Wu G, Huo J Y, Wen H L, Li Y Y, Liu L and Ma C Y 2023 Opt. Express 31 1787
[37] Shen H Y, Lan R B, Hu H B, Li Y, Zhou R and Zhang Z X 2025 Chin. Phys. B 34 034203
[38] Yao X, Liu C, Yang Z Y and Yang W L 2022 Phys. Rev. Res. 4 013246
[39] Li Y, Xia R, Liu J, Zhao Y, Li C, Wang M, Zhang R, Tang X and Xu G 2024 Opt. Laser Technol. 175 110900
[40] Wu Z L, Zang Z X, Li T J, Luo M, Liu M, Luo A P, Xu W C and Luo Z C 2025 Opt. Express 33 10129
[41] Yang S, Zhu Z, Qi Y, Jin L, Li L and Lin X 2023 Chaos Solitons and Fractals 172 113544
[42] Liu C, Che W J and Akhmediev N 2024 Phys. Rev. E 110 044210
[43] Chen H J, Tan Y J, Long J G, Chen W C, Hong W Y, Cui H, Luo A P, Luo Z C and Xu W C 2019 Opt. Express 27 28507

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Breathing dynamics of dissipative pure quartic soliton molecules via spectral filtering effects

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