The data-driven vector localized waves of Manakov system using improved PINN approach
Year: 2021
Type: preprint
Abstract: The study of vector localized waves, especially vector rogue waves (RWs), for the Manakov system has attracted more and more attention in many fields such as mathematical physics. An improved PINN (IPINN) algorithm with four output functions and four nonlinear equation constraints is firstly proposed to obtain the data-driven vector localized waves, which contain vector solitons, breathers and RWs for the Manakov system with initial and boundary conditions in complex space. Especially, the data-driven vector interaction solutions of RWs and bright-dark solitons, RWs and breathers, and bright-dark solitons evolving into RWs are obtained by utilizing IPINN approach. The flow-process diagram and algorithm steps that account for the IPINN of the Manakov system have been showcased in detail, and the data-driven vector localized waves of multi-component coupled nonlinear system have been investigated by proposing the IPINN model for the first time. The numerical results indicate the IPINN approach can well recover the localized waves of the Manakov system, and exhibit the corresponding dynamical behaviors, error analysis and vivid plots in detail.
Source: arXiv (Cornell University)
Authors: Juncai Pu, Yong Chen
Institution: East China Normal University
Language: English
Topic: Nonlinear Waves and Solitons
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W3200451289