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A remark on soliton equation of mean curvature flow Anais da ABC (AABC)
Ma,Li; Yang,Yang.
In this note, we consider self-similar immersions of the mean curvature flow and show that a graph solution of the soliton equation, provided it has bounded derivative, converges smoothly to a function which has some special properties (see Theorem 1.1).
Tipo: Info:eu-repo/semantics/article Palavras-chave: Soliton; Self-Similar; Mean curvature flow.
Ano: 2004 URL: http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652004000300001
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Coherent soliton propagation through doped optical fibers: cloning, breakup, and soliton interactions Anais da ABC (AABC)
CAVALCANTI,SOLANGE B.; FONSECA,EDUARDO J. DA S.; CAETANO,DILSON P.; HICKMANN,JANDIR M..
The simultaneous propagation of two optical pulses through a doped nonlinear dispersive medium modelled by a resonant three-level system was investigated numerically, within the framework of a pair of coupled extended nonlinear Schrödinger equations. These included the contribution of the dopant resonances whose dynamics is governed by Bloch equations. In this work, we review the interesting possibilities on the manipulation of fields such as cloning, breakup and soliton interactions, that the combination of coherent population trapping with nonlinear dispersive media offers.
Tipo: Info:eu-repo/semantics/article Palavras-chave: Soliton; Quantum coherence; Nonlinearity; Cloning.
Ano: 2001 URL: http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652001000200005
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A numerical study of the generation and propagation of internal solitary waves in the Luzon Strait ArchiMer
Cai, Sq; Long, Xm; Gan, Zj.
A new composite model, which consists of a generation model of the internal tides and a regularized long wave propagation model, is presented to study the generation and evolution of internal solitary waves in the sill strait. Internal bores in the sill strait are first simulated by the generation model. and then the internal tidal field outside of the sill region is given as input for the propagation model. Numerical experiments are carried out to Study the imposing tide, depth profile. channel width and shoaling effect, etc., on the generation and evolution of internal solitary waves. It is shown that only when the amplitude of internal tide at the forcing boundary of the propagation model is large enough that a train of internal solitary waves would be...
Tipo: Text Palavras-chave: Marée interne; Modèle numérique de soliton; Mer de Chine; Internal wave; Soliton; Numerical model; South China Sea.
Ano: 2002 URL: http://archimer.ifremer.fr/doc/00322/43319/42935.pdf
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