[3] [3] Kaur P, Dhawan D, Gupta N. Design and analysis of a soliton-based WDM system for performance enhancement of long-haul communication[J]. Optoelectronics and Advanced Materials-Rapid Communications,2024,18 （3/4）:144—149.

[4] [4] Cui J, Kong W, Liu Z, et al. Dynamic secure key distribution based on dispersion equalization and cellular automata for optical transmission[J]. Photonics,2023,10（12）:1308—1317.

[6] [6] Chi X, Bai C, Yang F, et al. Joint intra and inter-channel nonlinear compensation scheme based on improved learned digital back propagation for WDM systems[J]. Optics Express,2024,32（4）:22—32.

[7] [7] Huang J, Yi A, Yan, et al. Fast fiber nonlinearity compensation method for PDM coherent optical transmission systems based on the Fourier neural operator[J]. Optics Express,2024,32（2）:2245—2256.

[9] [9] Hadjadji N, Hamdi R. Nonlinearity mitigation of self-phase modulation effect in coherent optical system[J]. Journal of Optical Communications,2024,45（4）:853—862.

[10] [10] Nguyen T, Mhatli S, Giacoumidis E, et al. Fiber nonlinearity equalizer based on support vector classification for coherent optical ofdm[J]. IEEE Photonics Journal,2017,8（2）:1—9.

[11] [11] Torkaman P, Latifi S M, Feng K M, et al. Nonlinearity-robust im/dd thz communication system via two-stage deep learning equalizer[J]. IEEE Communications Letters: A publication of the IEEE Communications Society,2024,28（8）:1805—1809.

[12] [12] Wang Y, Guo Q, Liu X Y. Doubly selective channel estimation and equalization based on ICI/ISI mitigation for OQAM-FBMC systems[J]. Physical Communication,2023,59（8）:102120.1—102120.10.

[13] [13] Bakhshali A, Najafi H, Hamgini B Z Z. Neural network architectures for optical channel nonlinear compensation in digital subcarrier multiplexing systems[J]. Optics Express,2023,31（16）:26418—26434.

[14] [14] Sidelnikov O, Redyuk A, Sygletos S, et al. Advanced convolutional neural networks for nonlinearity mitigation in long-haul wdm transmission systems[J]. Journal of Lightwave Technology,2021,39（8）:2397—2406.

[15] [15] Xu Z, Sun C, Ji T, et al. Cascade recurrent neural network-assisted nonlinear equalization for a 100Gb/s PAM4 short-reach direct detection system[J]. Optics Letters,2020,45（15）:4216—4219.

[16] [16] Deligiannidis S, Mesaritakis C, Bogris A. Performance and complexity analysis of bi-directional recurrent neural network models vs[J]. Volterra Nonlinear Equalizers in Digital Coherent Systems,2021,39（18）:5791—5798.

[17] [17] Sidelnikov Oleg, Redyuk Alexey, Sygletos Stylianos. Equalization performance and complexity analysis of dynamic deep neural networks in long haul transmission systems[J]. Optics Express,2018,26（25）:32765—32776.

[18] [18] Bogdanov S A, Sidelnikov O S. Use of complex fully connected neural networks to compensate for nonlinear effects in fibre-optic communication lines[J]. Quantum Electronics,2021,51（5）:459—462.

[19] [19] Freire P J, Neskorniuk V, Napoli A, et al. Complex-valued neural network design for mitigation of signal distortions in optical links[J]. Journal of Lightwave Technology,2020,39（6）:1696—1705.

[20] [20] Pan J T, Zhu B H, Ma L L, et al. Nonlinear geometric phase coded ferroelectric nematic fluids for nonlinear soft-matter photonics[J]. Nature Communications,2024,15（1）:8732—8743.

[21] [21] Xu H, Jin Y. The asymptotic expansion for a class of non-linear singularly perturbed problems with optimal control[J].Journal of Nonlinear Sciences & Applications （JNSA）,2016,4（9）:2718—2726.

[22] [22] Lin X, Luo S, Soman S K O, et al. Perturbation theory-aided learned digital back-propagation scheme for optical fiber nonlinearity compensation[J]. Lightwave Technology, IEEE/OSA Journal of （J-LT）,2022,40（7）:1981—1988.