Unidirectional segregation of bright-bright soliton through a parity-time-symmetric potential

Alotaibi, M. O. D.

doi:10.1103/physreve.106.064202

Cited by 3 publications

(1 citation statement)

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“…Gross-Pitaevskii equations with Wadati class of potentials have a special interest while studying the  -symmetric systems [16][17][18].  -symmetric soliton models with Kerr nonlinearity in single [19][20][21][22][23][24][25][26][27] and coupled systems [28][29][30][31][32] have been studied extensively. Apart from Kerr nonlinear system, different kinds of nonlinear models such as nonlocal [33,34], variable coefficient [35], parabolic law [36], cubic-quintic [37,38], cubic-quartic [39], quintic-septimal [40,41] and cubic-quintic-septimal [42] nonlinear Schrodinger equations leading to different types of soliton solutions have been studied.…”

Section: Introductionmentioning

confidence: 99%

One-dimensional PT -symmetric eigenmodes in k-wave number Scarf II potential with defocusing nonlinearity

Thasneem¹,

Subha²

2023

Phys. Scr.

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The stationary states and dynamical evolution of one-dimensional eigenmodes in self-defocusing nonlinear Kerr medium under transverse parity-time (PT ) symmetric k-wave number Scarff-II potential have been analysed. We study the effect of the coefficient of the imaginary component of the PT-symmetric potential on the eigenvalue spectra of the ground and first excited states in linear and nonlinear models. Symmetric eigenmodes with real eigenvalues are obtained in the unbroken PT regime in both models. The linear stability analysis shows that the solutions are stable in the unbroken PT regime. The stable propagation of the solutions in linear and nonlinear media supported by PT-symmetric k-wave number Scarff-II potential is also investigated. The comparison of the solutions in the presence and the absence of nonlinearity reveals that in the self-defocusing Kerr medium nonlinearity suppresses the region of PT -symmetry. The influence of the width of the complex k-wave number Scarff-II potential and the depth of the real potential function on the PT-symmetry breaking have also been analysed.

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