Buildup dynamics of the soliton molecules in a self-starting Mamyshev oscillator

IF 5.6 1区 数学 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
Jingxue Liu, Chaoran Wang, Xingliang Li, Mengmeng Han, Shumin Zhang
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引用次数: 0

Abstract

Since Mamyshev oscillator is difficult to start a mode-locked state, only a few rare efforts have been dedicated to unveiling the buildup dynamics of soliton molecules (SMs). Here, we focus on addressing this issue. It is revealed that there are two different SMs formation processes for two different self-starting modes. Specifically, for single pulses self-starting, the number of pulses inside SMs gradually increases one by one with pump power. While for multi-pulse self-starting, SMs are generated simultaneously and then disappear simultaneously. That is, a smaller SM containing a few pulses can be formed at small pump power. By simply increasing the pump power, these pulses within SMs disappear simultaneously. Continuing to increase the pump power will result in the formation of a larger SMs containing one more pulse than before, and so on. In addition, both SM formation modes exhibit bistability. These findings enhance the understanding of nonlinear dynamics.
自启动马米舍夫振荡器中孤子分子的累积动力学
由于马米舍夫振荡器难以启动锁模态,因此只有少数罕见的努力致力于揭示孤子分子(SMs)的积累动力学。在这里,我们将重点解决这个问题。结果表明,在两种不同的自启动模式下,存在两种不同的SMs形成过程。具体来说,对于单脉冲自启动,随着泵浦功率的增加,SMs内的脉冲数逐渐增加。而对于多脉冲自启动,SMs同时产生,同时消失。即在较小的泵浦功率下,可以形成包含少量脉冲的较小的SM。通过简单地增加泵的功率,这些脉冲在SMs内同时消失。继续增加泵浦功率将导致形成比以前多一个脉冲的更大的SMs,依此类推。此外,两种SM地层模式均表现出双稳定性。这些发现增强了对非线性动力学的理解。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Chaos Solitons & Fractals
Chaos Solitons & Fractals 物理-数学跨学科应用
CiteScore
13.20
自引率
10.30%
发文量
1087
审稿时长
9 months
期刊介绍: Chaos, Solitons & Fractals strives to establish itself as a premier journal in the interdisciplinary realm of Nonlinear Science, Non-equilibrium, and Complex Phenomena. It welcomes submissions covering a broad spectrum of topics within this field, including dynamics, non-equilibrium processes in physics, chemistry, and geophysics, complex matter and networks, mathematical models, computational biology, applications to quantum and mesoscopic phenomena, fluctuations and random processes, self-organization, and social phenomena.
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