Black and gray soliton interactions and cascade compression in the variable coefficient nonlinear Schrödinger equation

Musammil, N. M.; Subha, P. A.; Nithyanandan, K.

doi:10.1016/j.ijleo.2018.01.082

Cited by 11 publications

(1 citation statement)

References 36 publications

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“…Dark soliton dynamics, stability, interactions, phase dynamics, ultra-short dark soliton, vector dark solitons, their tunnelling effects etc in nonlinear lossless and lossy mediums are theoretically explored. [58][59][60][61][62][63][64][65] Relevant studies on the dark-bright vector soliton in fibre ring lasers [66], robust dark topological valley Hall edge soliton [67], dark soliton families in quintic nonlinear lattices [68], and dark gap solitons in nonlinear media with fourth-order dispersion [25,69] are reported recently. The dark gap soliton in Bose-Einstein codensates trapped by optical lattices is predicted both in defocusing cubic [70] and quintic [71] nonlinearity.…”

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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