Existence and stability of modulating pulse solutions in Maxwell's equations describing nonlinear optics

DOI10.1007/s00033-003-1048-5zbMath1041.35074OpenAlexW2032135816MaRDI QIDQ1412071

Hannes Uecker, Guido Schneider

Publication date: 4 November 2003

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-003-1048-5

zbMATH Keywords

spectral stabilitycubic-quintic Ginzburg-Landau equationCenter manifold reductionlocalized optical pulsesPerturbed nonlinear Schrödinger equationSpatial dynamics

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Stability in context of PDEs (35B35) Second-order nonlinear hyperbolic equations (35L70) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Lasers, masers, optical bistability, nonlinear optics (78A60) Asymptotic analysis in optics and electromagnetic theory (78M35)

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