Abstract
We found two kinds of soliton explosions based on the complex Ginzburg-Landau equation without nonlinearity saturation and high-order effects, demonstrating the soliton explosions as an intrinsic property of the dissipative systems. The two kinds of soliton explosions are caused by the dual-pulsing instability and soliton erupting, respectively. The transformation and relationship between the two kinds of soliton explosions are discussed. The parameter space for the soliton explosion in a mode-locked laser cavity is found numerically. Our results can help one to obtain or avoid the soliton explosions in mode-locked fiber lasers and understand the nonlinear dynamics of the dissipative systems.
Highlights
Ultrafast fiber lasers have become important tools in scientific researches and industry [1,2,3]
The spectrum of the ultrashort pulse experiences an abrupt narrowing during the dual-pulsing instability (DPI) explosion, which is shown in Figs. 2(b) and 2(d)
Such DPI explosion is similar to the multi-pulsing instability explosion in [21], the explosion in [21] is accompanied with Raman emission and an additional-noise-like pulse, which is different from the two smooth pulses in our DPI explosion
Summary
Ultrafast fiber lasers have become important tools in scientific researches and industry [1,2,3] They are important test beds to research the nonlinear dynamics of dissipative systems [4,5,6]. The soliton explosion was experimentally demonstrated in [12] in a solid-state Kerr-lens mode-locked laser. The dissipative soliton explosions accompanied with Raman emission were found in a nonlinear amplifying loop mirror (NALM) mode-locked fiber laser [20, 21]. The typical soliton explosion and the following rogue waves in a carbonnanotube (CNT) mode-locked fiber laser were found in [22, 23], where the explosions manifested themselves as abrupt collapse of the soliton spectrum without Raman emission. The polarization dynamics of the soliton explosion was experimentally researched in [6]
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