\(N\)-double poles solutions for nonlocal Hirota equation with nonzero boundary conditions using Riemann-Hilbert method and PINN algorithm
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Publication:2140112
DOI10.1016/j.physd.2022.133274zbMath1491.35307arXiv2111.12424OpenAlexW4200634205WikidataQ114141929 ScholiaQ114141929MaRDI QIDQ2140112
Publication date: 20 May 2022
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2111.12424
nonlocal Hirota equationphysics-informed neural networksRiemann-Hilbert methodnonzero boundary conditionssimple/double poles solutions
Artificial neural networks and deep learning (68T07) Asymptotic behavior of solutions to PDEs (35B40) KdV equations (Korteweg-de Vries equations) (35Q53) Inverse problems for PDEs (35R30) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Riemann-Hilbert problems in context of PDEs (35Q15) Soliton solutions (35C08)
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Uses Software
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