Numerical analysis of the Hirota equation: Modulational instability, breathers, rogue waves, and interactions

DOI10.1063/1.5129313zbMath1435.35369OpenAlexW2999154260WikidataQ89512400 ScholiaQ89512400MaRDI QIDQ5218151

Li Wang, Zhenya Yan, Bo-ling Guo

Publication date: 28 February 2020

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.5129313

zbMATH Keywords

inverse scattering transformrandom noiseFourier collocation methodintegrable Hirota equationultrashort light pulses in optical fibers

Mathematics Subject Classification ID

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) NLS equations (nonlinear Schrödinger equations) (35Q55) Lasers, masers, optical bistability, nonlinear optics (78A60) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) PDEs with randomness, stochastic partial differential equations (35R60) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Soliton solutions (35C08)

Related Items (5)

Deep learning neural networks for the third-order nonlinear Schrödinger equation: bright solitons, breathers, and rogue waves ⋮ Rogue wave formation and interactions in the defocusing nonlinear Schrödinger equation with external potentials ⋮ Intrinsical localization of both topological (anti-kink) envelope and gray (black) gap solitons of the condensed bosons in deep optical lattices ⋮ Rational vector rogue waves for the \(n\)-component Hirota equation with non-zero backgrounds ⋮ Breathers, cascading instabilities and Fermi-Pasta-Ulam-Tsingou recurrence of the derivative nonlinear Schrödinger equation: effects of `self-steepening' nonlinearity

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