Bound states of solitons in fiber lasers
Yudong Cui, Tianchang Lu, Yusheng Zhang, Dong Mao, and Boris A. Malomed

TL;DR
This paper reviews theoretical and experimental research on bound states of dissipative solitons in fiber lasers, highlighting the formation, stabilization, and various configurations of soliton molecules.
Contribution
It provides a comprehensive overview of the theoretical models and recent experimental discoveries related to soliton bound states in fiber lasers.
Findings
Detailed theoretical basis using complex Ginzburg-Landau equations
Experimental evidence of multi-soliton bound states in fibers
Identification of bound states in temporal, frequency, scalar, and vector domains
Abstract
This article presents a systematic review of theoretical and experimental findings for bound states of two and several dissipative solitons in fiber lasers. The theoretical basis underlying the formation and stabilization of soliton molecules in the fibers, which is provided by the complex Ginzburg-Landau equations and bound states of such equations, is presented in necessary detail, which is followed by a detailed presentation of experimental findings, including very recent ones. In particular, included are the results for the multi-soliton bound states in the fibers, as well as for the bound states in the temporal and frequency domains, single-component (scalar) and two-component (vector), two- and multi-soliton modes, as well as for bound states of spatiotemporal dissipative solitons in the lasers based on multimode fibers.
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