Hamiltonian preserving nonlinear optics

DOI10.1016/j.physd.2022.133394zbMath1496.65106arXiv1908.03520OpenAlexW2968454582WikidataQ114141903 ScholiaQ114141903MaRDI QIDQ2167975

S. S. Baturin

Publication date: 1 September 2022

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

Full work available at URL: https://arxiv.org/abs/1908.03520

zbMATH Keywords

integrable systemssymplectic integratorssingle particle dynamics

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Lasers, masers, optical bistability, nonlinear optics (78A60) Finite difference methods for boundary value problems involving PDEs (65N06) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Lattice dynamics; integrable lattice equations (37K60) Probabilistic methods, particle methods, etc. for initial value and initial-boundary value problems involving PDEs (65M75)

Cites Work

• On the Hamiltonian interpolation of near-to-the-identity symplectic mappings with application to symplectic integration algorithms
• High-order control for symplectic maps
• Geometric Numerical Integration
• Some application of splitting-up methods to the solution of mathematical physics problems
• On the Construction and Comparison of Difference Schemes
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