Defocusing regimes of nonlinear waves in media with negative dispersion

Journal Article · Thu Feb 01 04:00:00 EST 1996 · Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

DOI:https://doi.org/10.1103/PhysRevE.53.R1340· OSTI ID:278686

Berge, L; Kuznetsov, E A; Rasmussen, J J ^[1]

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1. Riso/ National Laboratory, Optics and Fluid Dynamics Department, P.O. Box 49, DK-4000 Roskilde (Denmark)

Defocusing regimes of quasimonochromatic waves governed by a nonlinear Schr{umlt o}dinger equation with mixed-sign dispersion are investigated. For a power-law nonlinearity, we show that localized solutions to this equation defined at the so-called {ital critical} dimension cannot collapse in finite time in the sense that their transverse (anomalously dispersing) and longitudinal (normally dispersing) extensions never vanish. Solutions defined at the {ital supercritical} dimension are proved to exhibit a nonvanishing mean longitudinal size, and cannot transversally collapse if they are assumed to shrink along each spatial direction. {copyright} {ital 1996 The American Physical Society.}

• OSTI ID: 278686
• Journal Information: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Journal Name: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics Journal Issue: 2 Vol. 53; ISSN PLEEE8; ISSN 1063-651X
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
DEFOCUSING
DISPERSION RELATIONS
FOCUSING
NONLINEAR OPTICS
PLASMA
REFRACTIVE INDEX
SCHROEDINGER EQUATION
WAVE PROPAGATION