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تسجيل مستخدم جديدNonlinear PT-symmetric models bearing exact solutions
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We study the nonlinear Schr$ddot{o}$dinger equation with a PT-symmetric potential. Using a hydrodynamic formulation and connecting the phase gradient to the field amplitude, allows for a reduction of the model to a Duffing or a generalized Duffing equation. This way, we can obtain exact soliton solutions existing in the presence of suitable PT-symmetric potentials, and study their stability and dynamics. We report interesting new features, including oscillatory instabilities of solitons and (nonlinear) PT-symmetry breaking transitions, for focusing and defocusing nonlinearities.
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We explore the consequences of incorporating parity and time reversal ($mathcal{PT}$) symmetries on the dynamics of nonreciprocal light propagation exhibited by a class of nonuniform periodic structures known as chirped $mathcal{PT}$-symmetric fiber
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The subject of PT-symmetry and its areas of application have been blossoming over the past decade. Here, we consider a nonlinear Schrodinger model with a complex potential that can be tuned controllably away from being PT-symmetric, as it might be th
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