Related references
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Article
Mathematics, Applied
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Summary: We study the generalized Karpman equations, which are nonlinear Schrodinger equations with additional linear higher-order derivatives. Singularly-perturbed Karpman equations can produce generalized solitary waves (GSWs) that have exponentially small oscillatory tails. Nanoptera are a special type of GSWs with non-decaying oscillatory tails. We investigate the properties of continuous and discretized Karpman equations and compare the nanoptera solutions in both cases.
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(2023)
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Yudong Cui et al.
Summary: Vector soliton is generated through cross-phase modulation, exhibiting dual-state and frequency shift characteristics, which are of great significance in studying the evolution dynamics of soliton and guiding the design of lasers.
OPTICS AND LASER TECHNOLOGY
(2023)
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Yin Fang et al.
Summary: This study proposes a bidirectional long short-term memory (Bi_LSTM) recurrent neural network (RNN) with an attention mechanism to predict the dynamics of a soliton from the detuning steady state to the stable mode-locked state by integrating the information of the first cycle of an optical pulse in a cavity into the input of a neural network. The training and testing are based on two typical nonlinear dynamics: the conventional soliton evolution from various saturation energies and soliton molecule evolution under different group velocity dispersion coefficients of optical fibers. In both cases, the root mean square error (RMSE) for 80% of the test samples is below 15%. In addition, the width of the conventional soliton pulse and the pulse interval of the soliton molecule predicted by the neural network are consistent with the experimental results. These results provide a new insight into the nonlinear dynamics modeling of the ultrafast fiber laser.
Article
Engineering, Mechanical
Wen-Bo Bo et al.
Summary: The physical information neural network is used to successfully predict the multipole soliton solution for the non-integrable equation, which exists under the PT-symmetric potential in saturable nonlinear media with fractional diffraction. The quadrupole, pentapole and sextupole solitons can coexist for the same parameters. The modulation intensity of the PT-symmetric potential and Levy index together modulate the existence and stable domain of multipole solitons.
NONLINEAR DYNAMICS
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Zhuang Wang et al.
Summary: We demonstrate the generation of pulsating vector dissipative-soliton-resonance (DSR) pulses in an ytterbium-doped fiber laser for the first time. By decreasing the pump power, the stationary DSR pulse can evolve into a pulsating one, with periodic variations in its width and energy. Unlike conventional pulsating behavior, the peak power of the pulsating DSR pulse remains unchanged due to the strong peak-power-clamping effect.
OPTICS AND LASER TECHNOLOGY
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Jun-Jie Qi et al.
Summary: In this work, a periodic transition between two evolving pulsating soliton states was reported in a Yb-doped fiber laser, and the spectral and temporal characteristics of this transition state were investigated. The two evolving soliton pulsating states have similar evolution processes but differ in pulse energy levels, pulsating modulation depths, and duration of quasi-stable mode-locked states. The transition between these states can be attributed to the interaction of the polarizer and the varying polarization states of the pulse inside the laser cavity. The experimental results contribute to a better understanding of soliton pulsating dynamics in dissipative optical systems.
Article
Mathematics
Aly R. Seadawy et al.
Summary: In this study, various analytical rational solutions are explored using symbolic computation and ansatz transformation functions. Different types of rational solutions, such as M-shaped rational solutions, periodic cross-rational solutions, multi-wave solutions, rational kink cross-solutions, and homoclinic breather solutions, are obtained and their dynamics are visualized through the selection of appropriate parameter values. Additionally, two different types of interactions between M-shaped rational solutions and kink waves are analyzed. Furthermore, the stability of these solutions and the movement role of the wave are examined through the creation of graphs such as two-dimensional, three-dimensional, density, contour visual, and stream plots.
Article
Optics
Ru-Ru Wang et al.
Summary: This study investigates the dynamics of traditional and M-type soliton pulses in mode-locked fiber lasers based on the CSHE model with higher-order nonlinear effects. The results reveal the transmission characteristics under different conditions, such as the stability of M-type solitons compared to single solitons and the compensation of time-domain shift by the self-steepening effect.
OPTICS AND LASER TECHNOLOGY
(2022)
Article
Nanoscience & Nanotechnology
Benhai Wang et al.
Summary: In this article, we report an ultrashort pulse fiber laser based on VSe2/GO nanocomposite and verify the formation process of soliton and soliton molecules by numerical simulation. We reveal the nonlinear stages in soliton dynamics and demonstrate the promising saturable absorber characteristics of VSe2/GO.
Article
Optics
Kangjun Zhao et al.
Summary: This study reveals the collision dynamics of vector solitons in a dual-comb fiber laser, capturing real-time spectral evolutions and extreme collisions with strong four-wave mixing sidebands. Experimental and numerical evidences provide insight into nonlinear dynamics in fiber lasers and potential improvements for laser performance in dual-comb spectroscopy applications.
PHOTONICS RESEARCH
(2021)
Article
Optics
X. Hu et al.
Summary: This study reports the first experimental observation of the coexistence of scalar dark and bright solitons in a fiber laser. The properties of the dark and bright solitons, as well as their bound states, were investigated and confirmed through numerical simulations based on the coupled Ginzburg-Landau equations.
Article
Optics
Zengrun Wen et al.
Summary: In this study, an all-fiber erbium-doped mode-locked laser was demonstrated, utilizing nonlinear polarization rotation and a saturable dynamic filtering effect for mode-locking, resulting in the generation of ultrashort pulses. By increasing the pump power, the laser also achieved harmonic mode-locking. The research proposes a practical method to achieve ultra-fast laser pulses with a narrow bandwidth.
Article
Optics
Wei Lin et al.
Summary: The formation of vector solitons in fiber lasers and effective methods for suppressing polarization dynamics were investigated theoretically and experimentally. Numerical models predicted dynamic and stable mode-locking regimes, resulting in PRVS and LPS. Experimental results verified the theoretical predictions.
Article
Optics
Ravindra Bandara et al.
Summary: The study reveals that the generalized nonlinear Schrodinger equation with quartic dispersion supports infinitely many multipulse solitons in infinite families with different signatures. By studying reduced systems and families of connecting orbits with different symmetry properties, the overall structure of solitons can be understood.
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Wenxiong Du et al.
Review
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Yufeng Song et al.
APPLIED PHYSICS REVIEWS
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