Asymptotic behavior of the nonlinear Schrödinger equation with rapidly varying, mean-zero dispersion

DOI10.1016/S0167-2789(97)00019-5zbMath0938.35178OpenAlexW2061560207WikidataQ107199775 ScholiaQ107199775MaRDI QIDQ1963258

Jared C. Bronski, J. Nathan Kutz

Publication date: 24 January 2000

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-2789(97)00019-5

zbMATH Keywords

method of stationary phasenonlinear Schrödinger equationporous medium equationoptical fiberspulse dynamics

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) NLS equations (nonlinear Schrödinger equations) (35Q55) Lasers, masers, optical bistability, nonlinear optics (78A60)

Related Items (3)

Interchanging space and time in nonlinear optics modeling and dispersion management models ⋮ Mode-locked matter waves in Bose-Einstein condensates ⋮ Numerical methods for some nonlinear Schrödinger equations in soliton management

Cites Work

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• Analytical and numerical aspects of certain nonlinear evolution equations. II. Numerical, nonlinear Schrödinger equation
• Waiting and propagating fronts in nonlinear diffusion
• Removing the stiffness from interfacial flows with surface tension
• The inverse scattering transform: Semi-infinite interval
• Guiding-center soliton

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