Nonlinear self-dual network equations: modulation instability, interactions of higher-order discrete vector rational solitons and dynamical behaviours

DOI10.1098/rspa.2020.0512zbMath1472.78029OpenAlexW3094929409WikidataQ102325445 ScholiaQ102325445MaRDI QIDQ5161142

Guoqiang Zhang, Zhenya Yan, Xiao-Yong Wen

Publication date: 29 October 2021

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://europepmc.org/articles/pmc7655740

zbMATH Keywords

stabilitymathematical physicsapplied mathematicsmodulation instabilitywave motiongeneralized perturbation Darboux transformationrational solitonsnonlinear self-dual network equations

Mathematics Subject Classification ID

Finite difference methods applied to problems in optics and electromagnetic theory (78M20) Lasers, masers, optical bistability, nonlinear optics (78A60) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Lattice dynamics; integrable lattice equations (37K60) Ordinary lattice differential equations (34A33)

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