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Comparisons between Maxwell's equations and an extended nonlinear Schrödinger equation

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Publication:1279018
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DOI10.1016/0165-2125(95)00051-8zbMath0917.35139OpenAlexW2058307481MaRDI QIDQ1279018

C. V. Hile

Publication date: 27 April 1999

Published in: Wave Motion (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0165-2125(95)00051-8


zbMATH Keywords

nonlinear Schrödinger equationMaxwell's equationsnumerical solutionsnonlinear dispersive optical mediaultra-short soliton-like pulse propagation


Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Lasers, masers, optical bistability, nonlinear optics (78A60)


Related Items

Solitary waves, steepening and initial collapse in the Maxwell-Lorentz system ⋮ Variational principles, Lie point symmetries, and similarity solutions of the vector Maxwell equations in nonlinear optics ⋮ Modeling light bullets with the two-dimensional sine-Gordon equation ⋮ Comparisons between sine-Gordon and perturbed nonlinear Schrödinger equations for modeling light bullets beyond critical collapse ⋮ Diffractive short pulse asymptotics for nonlinear wave equations ⋮ Liouville theorems for elliptic systems of arbitrary order



Cites Work

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  • Removing the stiffness from interfacial flows with surface tension
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