[1] Weill R, Bekker A, Smulakovsky V et al. Noise-mediated Casimir-like pulse interaction mechanism in lasers[J]. Optica, 3, 189-192(2016).
[2] Xie Z X, Deng L X, Ni Y M et al. Wavelength-tunable and asynchronous dual-wavelength mode-locked Er-Doped fiber laser[J]. Acta Optica Sinica, 43, 0414002(2023).
[3] Dong Z K, Song Y R. Research progress of mode-locked fiber lasers based on saturable absorbers[J]. Chinese Journal of Lasers, 48, 0501006(2021).
[4] He J Y, Wang P, He R J et al. Elastic and inelastic collision dynamics between soliton molecules and a single soliton[J]. Optics Express, 30, 14218-14231(2022).
[5] Liu C C, He J Y, Wang P et al. Characteristic extraction of soliton dynamics based on convolutional autoencoder neural network[J]. Chinese Optics Letters, 21, 031901(2023).
[6] Liu X M, Yao X K, Cui Y D. Real-time observation of the buildup of soliton molecules[J]. Physical Review Letters, 121, 023905(2018).
[7] Liu C C, He J Y, Wang P et al. Dynamics of pulsating solitons derived from asymmetrical dispersive waves[J]. Optics Express, 31, 5963-5972(2023).
[8] Han D D, Mei L Z, Zhang J Y et al. Dissipative soliton molecule mode-locked fiber laser with controllable separation[J]. Laser & Optoelectronics Progress, 58, 2114013(2021).
[9] Du Y Q, Zeng C, He Z W et al. Coherent dissipative soliton intermittency in ultrafast fiber lasers[J]. Chinese Optics Letters, 20, 011401(2022).
[10] Suzuki M, Boyraz O, Asghari H et al. Spectral periodicity in soliton explosions on a broadband mode-locked Yb fiber laser using time-stretch spectroscopy[J]. Optics Letters, 43, 1862-1865(2018).
[11] Närhi M, Salmela L, Toivonen J et al. Machine learning analysis of extreme events in optical fibre modulation instability[J]. Nature Communications, 9, 4923(2018).
[12] Salmela L, Tsipinakis N, Foi A et al. Predicting ultrafast nonlinear dynamics in fibre optics with a recurrent neural network[J]. Nature Machine Intelligence, 3, 344-354(2021).
[13] He J Y, Li C Y, Wang P et al. Soliton molecule dynamics evolution prediction based on LSTM neural networks[J]. IEEE Photonics Technology Letters, 34, 193-196(2022).
[14] Xiong W, Redding B, Gertler S et al. Deep learning of ultrafast pulses with a multimode fiber[J]. APL Photonics, 5, 096106(2020).
[15] Lu P Y, Kim S, Soljačić M. Extracting interpretable physical parameters from spatiotemporal systems using unsupervised learning[J]. Physical Review X, 10, 031056(2020).
[16] Guidotti R, Monreale A, Ruggieri S et al. A survey of methods for explaining black box models[J]. ACM Computing Surveys, 51, 1-42(2019).
[17] Herink G, Kurtz F, Jalali B et al. Real-time spectral interferometry probes the internal dynamics of femtosecond soliton molecules[J]. Science, 356, 50-54(2017).
[18] Han D D, Zhang J Y, Ren K L et al. Real-time measurement of fission dynamics of dissipative soliton[J]. Acta Optica Sinica, 42, 0706001(2022).
[19] Wei X M, Jing J C, Shen Y C et al. Harnessing a multi-dimensional fibre laser using genetic wavefront shaping[J]. Light: Science & Applications, 9, 149(2020).
[20] Genty G, Salmela L, Dudley J M et al. Machine learning and applications in ultrafast photonics[J]. Nature Photonics, 15, 91-101(2021).
[21] Linot A J, Graham M D. Deep learning to discover and predict dynamics on an inertial manifold[J]. Physical Review E, 101, 062209(2020).
[22] Li C Y, He J Y, He R J et al. Analysis of real-time spectral interference using a deep neural network to reconstruct multi-soliton dynamics in mode-locked lasers[J]. APL Photonics, 5, 116101(2020).
[23] Krupa K, Tonello A, Barthélémy A et al. Multimode nonlinear fiber optics, a spatiotemporal avenue[J]. APL Photonics, 4, 110901(2019).
[24] Xiao X S, Ding Y H, Fan S Z et al. Spatiotemporal period-doubling bifurcation in mode-locked multimode fiber lasers[J]. ACS Photonics, 9, 3974-3980(2022).
[25] Raissi M, Karniadakis G E. Hidden physics models: machine learning of nonlinear partial differential equations[J]. Journal of Computational Physics, 357, 125-141(2018).
[26] Iten R, Metger T, Wilming H et al. Discovering physical concepts with neural networks[J]. Physical Review Letters, 124, 010508(2020).
[27] Ding X, Chaté H, Cvitanović P et al. Estimating the dimension of an inertial manifold from unstable periodic orbits[J]. Physical Review Letters, 117, 024101(2016).
[28] Lusch B, Kutz J N, Brunton S L. Deep learning for universal linear embeddings of nonlinear dynamics[J]. Nature Communications, 9, 4950(2018).
[29] Vlachas P R, Arampatzis G, Uhler C et al. Multiscale simulations of complex systems by learning their effective dynamics[J]. Nature Machine Intelligence, 4, 359-366(2022).
[30] Raissi M, Perdikaris P, Karniadakis G E. Physics-informed neural networks: a deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations[J]. Journal of Computational Physics, 378, 686-707(2019).
[31] Wang P, Bao C Y, Fu B et al. Generation of wavelength-tunable soliton molecules in a 2-μm ultrafast all-fiber laser based on nonlinear polarization evolution[J]. Optics Letters, 41, 2254-2257(2016).
[32] Jang J K, Erkintalo M, Murdoch S G et al. Ultraweak long-range interactions of solitons observed over astronomical distances[J]. Nature Photonics, 7, 657-663(2013).
[33] Zhao L M, Tang D Y, Cheng T H et al. Passive harmonic mode locking of soliton bunches in a fiber ring laser[J]. Optical and Quantum Electronics, 40, 1053-1064(2008).
[34] Lin S F, Lin Y H, Cheng C H et al. Stability and chirp of tightly bunched solitons from nonlinear polarization rotation mode-locked erbium-doped fiber lasers[J]. Journal of Lightwave Technology, 34, 5118-5128(2016).
[35] Nimmesgern L, Beckh C, Kempf H et al. Soliton molecules in femtosecond fiber lasers: universal binding mechanism and direct electronic control[J]. Optica, 8, 1334-1339(2021).