Woo-pyo Hong

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The modulational instability of the higher-order nonlinear Schrödinger equation with fourth-order dispersion and quintic nonlinear terms, describing the propagation of extremely short pulses, is investigated. Several types of gains by modulational instability are shown to exist in both the anomalous and normal dispersion regimes depending on the sign and(More)
which can be considered as a coupling between the KdV (with respect to u) and the mKdV (with respect to v) equations. The coupled KdV-mKdV equations were proposed by Kersten and Krasil’shchik [1] and originate from a supersymmetric extension of the classical KdV [2]. It also can be considered as a coupling between the KdV and mKdV equations: By setting v =(More)
Light emission characteristics of ultraviolet (UV) BGaN/AlN quantum well (QW) structures were investigated using the multiband effective-mass theory and non-Markovian model. The BGaN/AlN QW structures show a much larger light intensity than the conventional AlGaN/AlN QW structures. This is mainly due to the fact that the internal field is significantly(More)
We find analytic solitary wave solutions for a modified KdV equation with i-dependent coeffi­ cients o f the form u t — 6a ( t )u u x + ß ( t )u xxx — 67u 2u x = 0. We make use of both the application of the truncated Painleve expansion and symbolic computation to obtain an auto-Bäcklund trans­ formation. We show that kink-type analytic solitary-wave(More)
The modulational instability of the one-dimensional cubic-quintic complex Ginzburg-Landau equation with the nonlinear gradient terms is investigated. The presence of the nonlinear gradient terms modifies the modulational instability gain spectrum. We numerically investigate the dynamics of modulational instability in the presence of the nonlinear gradient(More)
We report on the existence of a new family of stable stationary solitons of the one-dimensional modified complex Ginzburg-Landau equation. By applying the paraxial ray approximation, we obtain the relation between the width and the peak amplitude of the stationary soliton in terms of the model parameters. We verify the analytical results by direct numerical(More)
The modulation instability of the one-dimensional cubic-quintic complex Ginzburg-Landau equation with fouth-order dispersion and gain terms, a. k. a., the quintic complex Swift-Hohenberg equation, is investgated. The effects of the fourth-order terms to the modulational instability is studied. We numerically investigate the dynamics of the modulational(More)