Articles with "mathcal symmetric" as a keyword



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One-dimensional optical solitons in cubic–quintic–septimal media with $$\varvec{\mathcal {PT}}$$PT-symmetric potentials

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Published in 2017 at "Nonlinear Dynamics"

DOI: 10.1007/s11071-016-3138-x

Abstract: A ($$1+1$$1+1)-dimensional inhomogeneous cubic–quintic–septimal nonlinear Schrödinger equation with $$\mathcal {PT}$$PT-symmetric potentials is studied, and two families of soliton solutions are obtained. From soliton solutions, the amplitude of soliton is independent of the $$\mathcal {PT}$$PT-symmetric potential… read more here.

Keywords: cubic quintic; quintic septimal; dimensional optical; one dimensional ... See more keywords
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Linear stability analysis and spatial solitons in the one-dimensional and the two-dimensional generalized nonlinear Schrödinger equation with third-order dispersion and $$\mathcal {PT}$$-symmetric potentials

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Published in 2021 at "European Physical Journal D"

DOI: 10.1140/epjd/s10053-020-00034-y

Abstract: In this paper, the existence and stability of the nonlinear spatial localized modes have been investigated for both self-focusing and self-defocusing in the nonlinear Schrodinger (NLS) equation with interplay of third-order dispersion (TOD), momentum term… read more here.

Keywords: order dispersion; tod momentum; mathcal symmetric; stability ... See more keywords