On examining the predictive capabilities of two variants of the PINN in validating localized wave solutions in the generalized nonlinear Schrödinger equation

Cites Work

Unnamed Item
Unnamed Item
Conservation laws, bilinear forms and solitons for a fifth-order nonlinear Schrödinger equation for the attosecond pulses in an optical fiber
Breathers and rogue waves of the fifth-order nonlinear Schrödinger equation in the Heisenberg ferromagnetic spin chain
Rogue wave solutions and generalized Darboux transformation for an inhomogeneous fifth-order nonlinear Schrödinger equation
A novel modeling of boundary value problems on the glucose graph
PINN deep learning method for the Chen-Lee-Liu equation: rogue wave on the periodic background
Data-driven prediction of soliton solutions of the higher-order NLSE via the strongly-constrained PINN method
The nonlinear wave solutions and parameters discovery of the Lakshmanan-Porsezian-Daniel based on deep learning
A new study on the mathematical modelling of human liver with Caputo-Fabrizio fractional derivative
A mathematical model for COVID-19 transmission by using the Caputo fractional derivative
The data-driven localized wave solutions of the derivative nonlinear Schrödinger equation by using improved PINN approach
A case study of fractal-fractional tuberculosis model in China: existence and stability theories along with numerical simulations
Predicting the dynamic process and model parameters of the vector optical solitons in birefringent fibers \textit{via} the modified PINN
Collision of \(N\)-solitons in a fifth-order nonlinear Schrödinger equation
Riemann-Hilbert method for multi-soliton solutions of a fifth-order nonlinear Schrödinger equation
The higher-order nonlinear Schrödinger equation with non-zero boundary conditions: robust inverse scattering transform, breathers, and rogons
Formation of rogue waves on the periodic background in a fifth-order nonlinear Schrödinger equation
A-WPINN algorithm for the data-driven vector-soliton solutions and parameter discovery of general coupled nonlinear equations
Data-driven soliton mappings for integrable fractional nonlinear wave equations via deep learning with Fourier neural operator
Rogue waves, rational solitons, and modulational instability in an integrable fifth-order nonlinear Schrödinger equation
Schrödinger Equations in Nonlinear Systems
Higher-order rogue wave solutions of the Sasa–Satsuma equation
Rogue waves for the fourth-order nonlinear Schrödinger equation on the periodic background
Rogue Waves
Deep learning neural networks for the third-order nonlinear Schrödinger equation: bright solitons, breathers, and rogue waves
Dynamic analysis on optical pulses via modified PINNs: soliton solutions, rogue waves and parameter discovery of the CQ-NLSE

This page was built for publication: On examining the predictive capabilities of two variants of the PINN in validating localized wave solutions in the generalized nonlinear Schrödinger equation