[1] H. L. Chen, X. T. Jiang, S. X. Xu, H. Zhang. Recent progress in multi-wavelength fiber lasers: principles, status, and challenges. Chin. Opt. Lett., 18, 041405(2020).

[2] P. Grelu, N. Akhmediev. Dissipative solitons for mode-locked lasers. Nat. Photon., 6, 84(2012).

[3] A. Mahjoubfar, D. V. Churkin, S. Barland, N. Broderick, S. K. Turitsyn, B. Jalali. Time stretch and its applications. Nat. Photon., 11, 341(2017).

[4] P. Ryczkowski, M. Närhi, C. Billet, J. M. Merolla, G. Genty, J. M. Dudley. Real-time full-field characterization of transient dissipative soliton dynamics in a mode-locked laser. Nat. Photon., 12, 221(2018).

[5] G. Herink, B. Jalali, C. Ropers, D. R. Solli. Resolving the build-up of femtosecond mode-locking with single-shot spectroscopy at 90 MHz frame rate. Nat. Photon., 10, 321(2016).

[6] X. M. Liu, X.-K. Yao, Y.-D. Cui. Real-time observation of the buildup of soliton molecules. Phys. Rev. Lett., 121, 023905(2018).

[7] J. S. Peng, H. P. Zeng. Build-up of dissipative optical soliton molecules via diverse soliton interactions. Laser Photon. Rev., 12, 1800009(2018).

[8] J. M. Soto-Crespo, N. Akhmediev, A. Ankiewicz. Pulsating, creeping, and erupting solitons in dissipative systems. Phys. Rev. Lett., 85, 2937(2000).

[9] J. M. Soto-Crespo, M. Grapinet, P. Grelu, N. Akhmediev. Bifurcations and multiple-period soliton pulsations in a passively mode-locked fiber laser. Phys. Rev. E, 70, 066612(2004).

[10] C. Y. Bao, W. K. Chang, C. X. Yang, N. Akhmediev, S. T. Cundiff. Observation of coexisting dissipative solitons in a mode-locked fiber laser. Phys. Rev. Lett., 115, 253903(2015).

[11] Y. Q. Du, Z.-W. Xu, X.-W. Shu. Spatio-spectral dynamics of the pulsating dissipative solitons in a normal-dispersion fiber laser. Opt. Lett., 43, 3602(2018).

[12] J. S. Peng, S. Boscolo, Z. Zhao, H. P. Zeng. Breathing dissipative solitons in mode-locked fiber lasers. Sci. Adv., 5, eaax1110(2019).

[13] C. Chao, Q. Q. Huang, M. Al Araimi, A. Rozhin, S. Sergeyev, C. B. Mou. Observation of chaotic polarization attractors from a graphene mode locked soliton fiber laser. Chin. Opt. Lett., 17, 020012(2019).

[14] Z. Q. Wang, Q. Jiang, Z. Tang, Z. Zhang. Complex pulsating dynamics of counter-propagating solitons in a bidirectional ultrafast fiber laser. Opt. Express, 28, 28209(2020).

[15] J. Chen, X. Zhao, T. Li, J. J. Yang, J. S. Liu, Z. Zheng. Generation and observation of ultrafast spectro-temporal dynamics of different pulsating solitons from a fiber laser. Opt. Express, 28, 14127(2020).

[16] T. H. Xian, L. Zhan, W. C. Wang, W. Y. Zhang. Subharmonic entrainment breather solitons in ultrafast lasers. Phys. Rev. Lett., 125, 163901(2020).

[17] Y. Q. Du, M. M. Han, P. Y. Cheng, X. W. Shu. Pulsating soliton with broadened Kelly sidebands in an ultrafast fiber laser. Opt. Lett., 44, 4087(2019).

[18] M. Liu, Z. W. Wei, H. Li, T. J. Li, A. P. Luo, W. C. Xu, Z. C. Luo. Visualizing the “invisible” soliton pulsation in an ultrafast laser. Laser Photon. Rev., 14, 1900317(2020).

[19] S. H. Stogatz. Nonlinear Dynamicssa and Chaos(1994).

[20] S. T. Cundiff, J. M. Soto-Crespo, N. Akhmediev. Experimental evidence for soliton explosions. Phys. Rev. Lett., 88, 073903(2002).

[21] O. Descalzi, C. Cartes, J. Cisternas, H. R. Brand. Exploding dissipative solitons: the analog of the Ruelle–Takens route for spatially localized solutions. Phys. Rev. E, 83, 056214(2011).

[22] S. C. V. Latas, M. F. S. Ferreira. Why can soliton explosions be controlled by higher-order effects?. Opt. Lett., 36, 3085(2011).

[23] S. C. V. Latas, M. F. S. Ferreira. Soliton explosion control by higher-order effects. Opt. Lett., 35, 1771(2010).

[24] A. F. J. Runge, N. G. R. Broderick, M. Erkintalo. Observation of soliton explosions in a passively mode-locked fiber laser. Optica, 2, 36(2015).

[25] M. Liu, A. P. Luo, W. C. Xu, Z. C. Luo. Dissipative rogue waves induced by soliton explosions in an ultrafast fiber laser. Opt. Lett., 41, 3912(2016).

[26] Y. Q. Du, M.-M. Han, X.-W. Shu. Dark solitons in the exploding pulsation of the bright dissipative soliton in ultrafast fiber lasers. Opt. Lett., 45, 666(2020).

[27] F. C. Meng, C. Lapre, C. Billet, G. Genty, J. M. Dudley. Instabilities in a dissipative soliton-similariton laser using a scalar iterative map. Opt. Lett., 45, 1232(2020).

[28] Y. Q. Du, S. V. Sergeyev, Z. W. Xu, M. M. Han, X. W. Shu, S. K. Turitsyn. Alternation of the mode synchronization and desynchronization in ultrafast fiber laser. Laser Photon. Rev., 14, 1900219(2020).

[29] S. Lee, K. Park, H. Kim, L. A. Vazquez-Zuniga, J. Kim, Y. Jeong. Intermittent burst of a super rogue wave in the breathing multi-soliton regime of an anomalous fiber ring cavity. Opt. Express, 26, 11447(2018).

[30] M. Liu, T.-J. Li, A.-P. Luo, W.-C. Xu, Z.-C. Luo. “Periodic” soliton explosions in a dual-wavelength mode-locked Yb-doped fiber laser. Photon. Res., 8, 246(2020).

[31] C. R. Gile, S. E. Desurvire. Modeling erbium-doped fiber amplifier. IEEE J. Lightwavave Technol., 9, 271(1991).

[32] P. Sidorenko, W. Fu, F. W. Wise. Nonlinear ultrafast fiber amplifiers beyond the gain-narrowing limit. Optica, 6, 1328(2019).