Dispersive optical solitons of the stochastic Fokas-Lenells equation with multiplicative white noise based on the trial equation method

Shiyi Guo
Proceedings of 2025 2nd International Conference on Machine Learning and Intelligent Computing, PMLR 278:543-549, 2025.

Abstract

In this paper, we study the Fokas-Lenells (FL) equation with multiplicative white noise in the Itô sense for polarization-maintaining fibers, using the trial equation method and the polynomial complete discriminant system approach. All exact solutions of the equation in its general form are obtained, including solitary wave solutions, trigonometric function solutions, rational solutions, and Jacobian elliptic function doubly periodic solutions. Furthermore, several representative numerical simulation results are presented under given parameter conditions.

Cite this Paper

BibTeX
@InProceedings{pmlr-v278-guo25b, title = {Dispersive optical solitons of the stochastic Fokas-Lenells equation with multiplicative white noise based on the trial equation method}, author = {Guo, Shiyi}, booktitle = {Proceedings of 2025 2nd International Conference on Machine Learning and Intelligent Computing}, pages = {543--549}, year = {2025}, editor = {Zeng, Nianyin and Pachori, Ram Bilas and Wang, Dongshu}, volume = {278}, series = {Proceedings of Machine Learning Research}, month = {25--27 Apr}, publisher = {PMLR}, pdf = {https://raw.githubusercontent.com/mlresearch/v278/main/assets/guo25b/guo25b.pdf}, url = {https://proceedings.mlr.press/v278/guo25b.html}, abstract = {In this paper, we study the Fokas-Lenells (FL) equation with multiplicative white noise in the Itô sense for polarization-maintaining fibers, using the trial equation method and the polynomial complete discriminant system approach. All exact solutions of the equation in its general form are obtained, including solitary wave solutions, trigonometric function solutions, rational solutions, and Jacobian elliptic function doubly periodic solutions. Furthermore, several representative numerical simulation results are presented under given parameter conditions.} }
Endnote
%0 Conference Paper %T Dispersive optical solitons of the stochastic Fokas-Lenells equation with multiplicative white noise based on the trial equation method %A Shiyi Guo %B Proceedings of 2025 2nd International Conference on Machine Learning and Intelligent Computing %C Proceedings of Machine Learning Research %D 2025 %E Nianyin Zeng %E Ram Bilas Pachori %E Dongshu Wang %F pmlr-v278-guo25b %I PMLR %P 543--549 %U https://proceedings.mlr.press/v278/guo25b.html %V 278 %X In this paper, we study the Fokas-Lenells (FL) equation with multiplicative white noise in the Itô sense for polarization-maintaining fibers, using the trial equation method and the polynomial complete discriminant system approach. All exact solutions of the equation in its general form are obtained, including solitary wave solutions, trigonometric function solutions, rational solutions, and Jacobian elliptic function doubly periodic solutions. Furthermore, several representative numerical simulation results are presented under given parameter conditions.
APA
Guo, S.. (2025). Dispersive optical solitons of the stochastic Fokas-Lenells equation with multiplicative white noise based on the trial equation method. Proceedings of 2025 2nd International Conference on Machine Learning and Intelligent Computing, in Proceedings of Machine Learning Research 278:543-549 Available from https://proceedings.mlr.press/v278/guo25b.html.

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