{"title":"Buildup dynamics of the soliton molecules in a self-starting Mamyshev oscillator","authors":"Jingxue Liu, Chaoran Wang, Xingliang Li, Mengmeng Han, Shumin Zhang","doi":"10.1016/j.chaos.2025.116709","DOIUrl":null,"url":null,"abstract":"<div><div>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.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"199 ","pages":"Article 116709"},"PeriodicalIF":5.6000,"publicationDate":"2025-06-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Chaos Solitons & Fractals","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0960077925007222","RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS, INTERDISCIPLINARY APPLICATIONS","Score":null,"Total":0}
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.
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.