Oscillatory motion of dissipative solitons induced by delay-feedback in inhomogeneous Kerr resonators

Tabbert, Felix; Gurevich, Svetlana V.; Panajotov, Krassimir; Tlidi, Mustapha

doi:10.1016/j.chaos.2021.111317

Cited by 7 publications

(6 citation statements)

References 49 publications

(64 reference statements)

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“…It can be seen from Table 3 that in the prediction of the interaction of the two soliton, we found that the prediction result of 3 L are not much different from the classic PINN. For the prediction of soliton molecule, we found that the prediction result of 3 L is better than the classical result. At the same time, it is found that the loss of 1 L is smaller than the loss of 5 L , but the prediction result is not as good as that of 5 L .…”

Section: Two-soliton Solutionmentioning

confidence: 66%

“…The data set can be similar to the KdV One-soliton discussion through the pseudo-spectrum. We found that the neural network with four different combinations of conservation laws predicts soliton interaction and soliton molecule, and the combination of 3 L has the best prediction result. It can be seen from Table 3 that in the prediction of the interaction of the two soliton, we found that the prediction result of 3 L are not much different from the classic PINN.…”

Section: Two-soliton Solutionmentioning

confidence: 93%

“…We found that the neural network with four different combinations of conservation laws predicts soliton interaction and soliton molecule, and the combination of 3 L has the best prediction result. It can be seen from Table 3 that in the prediction of the interaction of the two soliton, we found that the prediction result of 3 L are not much different from the classic PINN. For the prediction of soliton molecule, we found that the prediction result of 3 L is better than the classical result.…”

Section: Two-soliton Solutionmentioning

confidence: 93%

“…L L L to predict soliton solutions of the mKdV equation, which are the same as that of NLSE in the section 3. Similar to the KdV equation, the result of the loss combination 3 L is the best in the prediction for solution of mKdV equation, and its loss form is…”

Section: Prediction Of Soliton Solutions Of Mkdv Equationmentioning

confidence: 99%

“…Soliton theory has been deeply studied and widely used in mechanics, physics, biology, hydrodynamics and other engineering fields [1][2][3], and the essence of soliton is a special wave-like solutions of nonlinear wave models, namely nonlinear partial differential equations (NPDEs) [4].…”

Section: Introductionmentioning

confidence: 99%

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Data-driven soliton solutions and model parameters of nonlinear wave models via the conservation-law constrained neural network method

Fang

Kudryashov

et al. 2022

Chaos, Solitons & Fractals

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Section: Two-soliton Solutionmentioning

confidence: 66%

Section: Two-soliton Solutionmentioning

confidence: 93%

Section: Two-soliton Solutionmentioning

confidence: 93%

Section: Prediction Of Soliton Solutions Of Mkdv Equationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Data-driven soliton solutions and model parameters of nonlinear wave models via the conservation-law constrained neural network method

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Kudryashov

et al. 2022

Chaos, Solitons & Fractals

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Dynamics of dissipative soliton and conventional soliton in passively mode‐locked erbium‐doped fiber laser

Gao

Huo

et al. 2022

Micro & Optical Tech Letters

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We have numerically demonstrated the dynamics of dissipative soliton (DS) and conventional soliton (CS) in passively mode-locked erbium-doped fiber (EDF) laser. By adjusting corresponding parameters, DS could turn into inset soliton, rope soliton, and sawtooth soliton. To our knowledge, this is the first time these phenomena mentioned above have been observed. Meanwhile, CS could convert to two-soliton molecules, three-soliton molecules, and noise-like pulses. When studying the convert process and dynamics of CS, we found the phase of CS is closest to 0 compared to all solitons mentioned above, which means that it can play a considerable role in fiber lasers with strict requirements on phase change. Our simulation results can contribute to a better understanding of the various soliton dynamics in passively mode-locked EDF lasers.

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Space-Time Dynamics of High-Q Optical Resonators

Tabbert

Gurevich

Panajotov

et al. 2022

Nonequilibrium Thermodynamics and Fluctuation Kinetics

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Oscillatory motion of dissipative solitons induced by delay-feedback in inhomogeneous Kerr resonators

Cited by 7 publications

References 49 publications

Data-driven soliton solutions and model parameters of nonlinear wave models via the conservation-law constrained neural network method

Data-driven soliton solutions and model parameters of nonlinear wave models via the conservation-law constrained neural network method

Dynamics of dissipative soliton and conventional soliton in passively mode‐locked erbium‐doped fiber laser

Space-Time Dynamics of High-Q Optical Resonators

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