Darboux transformation-based LPNN generating novel localized wave solutions

DOI10.1016/j.physd.2024.134262zbMath1545.35194MaRDI QIDQ6584190

JunCai Pu, Yong Chen

Publication date: 6 August 2024

Published in: Physica D (Search for Journal in Brave)

zbMATH Keywords

Darboux transformationKraenkel-Manna-Merle systemlocalized wave solutionsDarboux transformation-based LPNN

Mathematics Subject Classification ID

Artificial neural networks and deep learning (68T07) PDEs in connection with optics and electromagnetic theory (35Q60) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Soliton equations (35Q51) Lasers, masers, optical bistability, nonlinear optics (78A60) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Soliton solutions (35C08)

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