Dynamic analysis on optical pulses via modified PINNs: soliton solutions, rogue waves and parameter discovery of the CQ-NLSE

DOI10.1016/j.cnsns.2023.107441zbMath1528.35172MaRDI QIDQ6058699

Xing Lü, Yuhang Yin

Publication date: 1 November 2023

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

zbMATH Keywords

solitonrogue wavecubic-quintic nonlinear Schrödinger equationphysics-informed neural networkparameter discovery

Mathematics Subject Classification ID

Artificial neural networks and deep learning (68T07) PDEs in connection with optics and electromagnetic theory (35Q60) NLS equations (nonlinear Schrödinger equations) (35Q55) Lasers, masers, optical bistability, nonlinear optics (78A60) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Soliton solutions (35C08) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (8)

Semirational rogue waves of the three coupled higher-order nonlinear Schrödinger equations ⋮ Dynamical behavior and modulation instability of optical solitons with spatio-temporal dispersion ⋮ Modulation instability and collision dynamics of solitons in birefringence optical fibers ⋮ Efficient analytical algorithms to study Fokas dynamical models involving M-truncated derivative ⋮ An extension to direct method of Clarkson and Kruskal and Painlavé analysis for the system of variable coefficient nonlinear partial differential equations ⋮ The Riccati-Bernoulli subsidiary ordinary differential equation method to the coupled Higgs field equation ⋮ Soliton solutions and other solutions to the \((4+1)\)-dimensional Davey-Stewartson-Kadomtsev-Petviashvili equation using modified extended mapping method ⋮ Physics-informed ConvNet: learning physical field from a shallow neural network

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