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nlin.PS2022
Bound states spectrum of the nonlinear Schrödinger equation with Pöschl-Teller and square potential wells
L. Al Sakkaf, U. Al Khawaja
We obtain the spectrum of bound states for a modified Pöschl-Teller and square potential wells in the nonlinear Schrödinger equation. For a fixed norm of bound states, the spectrum…
nlin.PS2022
Quantum reflection of dark solitons scattered by reflectionless potential barrier and position-dependent dispersion
L. Al Sakkaf, T. Uthayakumar, U. Al Khawaja
We investigate theoretically and numerically quantum reflection of dark solitons propagating through an external reflectionless potential barrier or in the presence of a position-d…