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Cited by 48 publications
(9 citation statements)
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“…We now turn our attention to the NLS equation having space-varying coefficients [12,[33][34][35] (for wave propagation in a heterogeneous media), or with spatial heterogeneity corresponding to an applied field or confining potential (such as those found in various studies of spatially heterogeneous BECs [36][37][38][39] or in nonlinear optics [40][41][42][43][44]). Control of the quasi-soliton velocity by the use of spatiotemporal inhomogeneity has considered for a variety of equations in recent works on generalized nonlinear Schrödinger equations [45][46][47][48][49][50]. One such application is to situations where an optical fiber is spatially heterogeneous [47,49].…”
Section: Spatially Heterogeneous Mediamentioning
confidence: 99%
See 1 more Smart Citation
“…We now turn our attention to the NLS equation having space-varying coefficients [12,[33][34][35] (for wave propagation in a heterogeneous media), or with spatial heterogeneity corresponding to an applied field or confining potential (such as those found in various studies of spatially heterogeneous BECs [36][37][38][39] or in nonlinear optics [40][41][42][43][44]). Control of the quasi-soliton velocity by the use of spatiotemporal inhomogeneity has considered for a variety of equations in recent works on generalized nonlinear Schrödinger equations [45][46][47][48][49][50]. One such application is to situations where an optical fiber is spatially heterogeneous [47,49].…”
Section: Spatially Heterogeneous Mediamentioning
confidence: 99%
“…Control of the quasi-soliton velocity by the use of spatiotemporal inhomogeneity has considered for a variety of equations in recent works on generalized nonlinear Schrödinger equations [45][46][47][48][49][50]. One such application is to situations where an optical fiber is spatially heterogeneous [47,49].…”
Section: Spatially Heterogeneous Mediamentioning
confidence: 99%
“…[6−9] The effects of variable coefficients and external potentials on the solutions of the higher-order NLSE have been studied by Refs. [10][11][12].…”
Section: Introductionmentioning
confidence: 99%
“…Introduction. -Since the bright (dark) solitons preserve their identities when travelling in the nonlinear media, dynamics of the solitons in such fields as fiber optics, Bose-Einstein condensation and plasma physics has been attractive [1][2][3][4]. Optical solitons, formed by the balance between the nonlinear effects and group velocity dispersion in the nonlinear fiber, have been described by the nonlinear Schrödinger (NLS)-type equations [5,6].…”
mentioning
confidence: 99%
“…Lax pair and N -bright-bright soliton solutions for eqs. (1) have been derived via the Riemann-Hilbert method [17]. The soliton interaction of the bright-bright solitons for eqs.…”
mentioning
confidence: 99%