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Higher eigenmodes of nonlocal gap solitons in parity-time symmetric complex potential with a defocusing nonlinearity

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  • Suneera, T.P.
  • Subha, P.A.

Abstract

This work analyzes the existence and the stability of the double-hump gap solitons in an inhomogeneous medium having the parity-time (PT) symmetric complex potential with defocusing nonlocal nonlinearity. The stationary eigenvalues and the dynamical states have been investigated in the nonlinear regime. For stationary states, it is found that double-hump nonlocal gap solitons exist above a threshold value of energy and spread through two neighboring channels in the PT symmetric region. The power carried by the imaginary component of the double-hump soliton increases with the imaginary part of the complex potential. The total power is invariant with respect to the strength of the imaginary part of the potential and the range of the nonlocality. The power of the soliton increases with the propagation constant or energy.

Suggested Citation

  • Suneera, T.P. & Subha, P.A., 2017. "Higher eigenmodes of nonlocal gap solitons in parity-time symmetric complex potential with a defocusing nonlinearity," Chaos, Solitons & Fractals, Elsevier, vol. 98(C), pages 183-188.
    • Handle: RePEc:eee:chsofr:v:98:y:2017:i:c:p:183-188
    DOI: 10.1016/j.chaos.2017.03.019
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    References listed on IDEAS

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    1. Emmanuel Kengne & Abdourahman Shehou & Ahmed Lakhssassi, 2016. "Dynamics of matter-wave solitons in Bose-Einstein condensates with time-dependent scattering length and complex potentials," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 89(3), pages 1-12, March.
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    Cited by:

    1. A.R., Thasneem & P.A., Subha, 2023. "Stationary states and switching dynamics of the self-defocusing nonlinear coupled system with PT-symmetric k-wavenumber Scarf II potential," Chaos, Solitons & Fractals, Elsevier, vol. 177(C).

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