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Bright-dark and dark-dark solitons in coupled nonlinear Schrödinger equation with PT-symmetric potentials
Debraj Nath1, Yali Gao2, R Babu Mareeswaran3
1Department of Mathematics, Vivekananda College, Kolkata 700063, India.
Abstract:
We explore different nonlinear coherent structures, namely, bright-dark (BD) and dark-dark (DD) solitons in a coupled nonlinear Schrödinger/Gross-Pitaevskii equation with defocusing/repulsive nonlinearity coefficients featuring parity-time ( PT)-symmetric potentials. Especially, for two choices of PT-symmetric potentials, we obtain the exact solutions for BD and DD solitons. We perform the linear stability analysis of the obtained coherent structures. The results of this linear stability analysis are well corroborated by direct numerical simulation incorporating small random noise. It has been found that there exists a parameter regime which can support stable BD and DD solitons.
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