Data driven soliton solution of the nonlinear Schrödinger equation with certain \(\mathcal{PT}\)-symmetric potentials via deep learning

DOI10.1063/5.0086038zbMATH Open1542.3536MaRDI QIDQ6563626

K. Manikandan, J. Meiyazhagan, J. B. Sudharsan, Murugaian Senthilvelan

Publication date: 27 June 2024

Published in: Chaos (Search for Journal in Brave)

zbMATH Keywords

nonlinear Schrödinger equationsoliton solutionsymmetric potentialsdeep learning

Mathematics Subject Classification ID

Artificial neural networks and deep learning (68T07) NLS equations (nonlinear Schrödinger equations) (35Q55) Lasers, masers, optical bistability, nonlinear optics (78A60) Soliton solutions (35C08) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)

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Related Items (2)

\(PT\)-symmetric PINN for integrable nonlocal equations: forward and inverse problems ⋮ Predicting positon solutions of a family of nonlinear Schrödinger equations through deep learning algorithm

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