On the exact solution of the geometric optics approximation of the defocusing nonlinear Schrödinger equation.

DOI10.1016/S0375-9601(99)00300-XzbMath1044.78512OpenAlexW2012743605MaRDI QIDQ1966877

M. Gregory Forest, Kenneth T.-R. McLaughlin, Otis C. III Wright

Publication date: 8 March 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0375-9601(99)00300-x

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Lasers, masers, optical bistability, nonlinear optics (78A60) Solutions to PDEs in closed form (35C05)

Related Items (5)

Homoclinic connections of unstable plane waves of the modified nonlinear Schrödinger equation ⋮ Dispersive shock waves and modulation theory ⋮ Light propagation in media with a highly nonlinear response: an analytical study ⋮ Large time-stepping spectral methods for the semiclassical limit of the defocusing nonlinear Schrödinger equation ⋮ On the Riemann function

Cites Work

• On the Riemann-Green function
• Onset of oscillations in nonsoliton pulses in nonlinear dispersive fibers
• Korteweg–de vries zero dispersion limit: Through first breaking for cubic-like analytic initial data
• Multiphase averaging and the inverse spectral solution of the Korteweg—de Vries equation
• The semiclassical limit of the defocusing NLS hierarchy
• [https://portal.mardi4nfdi.de/wiki/Publication:4257037 On the Whitham equations for the semiclassical limit of the defocusing nonlinear Schr�dinger equation]
• Oscillations of the zero dispersion limit of the korteweg‐de vries equation
• Development of Singularities of Solutions of Nonlinear Hyperbolic Partial Differential Equations
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