The essential spectrum of periodically stationary solutions of the complex Ginzburg-Landau equation

DOI10.1007/s00028-020-00640-8zbMath1483.35234arXiv2005.09176OpenAlexW3093914401MaRDI QIDQ2062847

Jeremy L. Marzuola, John W. Zweck, Christopher K. R. T. Jones, Yuri Latushkin

Publication date: 3 January 2022

Published in: Journal of Evolution Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.09176

zbMATH Keywords

nonlinear wavesessential spectrumanalytic semigroupsfiber lasersbreather solutions

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Periodic solutions to PDEs (35B10) One-parameter semigroups and linear evolution equations (47D06) NLS equations (nonlinear Schrödinger equations) (35Q55) Lasers, masers, optical bistability, nonlinear optics (78A60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Stability problems for infinite-dimensional dissipative dynamical systems (37L15) Time-dependent Schrödinger equations and Dirac equations (35Q41) Ginzburg-Landau equations (35Q56)

Related Items (2)

Linear instability of breathers for the focusing nonlinear Schrödinger equation ⋮ The essential spectrum of periodically stationary pulses in lumped models of short‐pulse fiber lasers

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