4 papers
Elastic and Inelastic Scattering of Flat-Top Solitons
U. Al Khawaja, M. O. D. Alotaibi, L. Al Sakkaf
We investigate the interaction between two flat-top solitons within the cubic-quintic nonlinear Schrödinger equation framework. Our study results point towards a significant depart…
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…
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…
High accuracy power series method for solving scalar, vector, and inhomogeneous nonlinear Schrödinger equations
L. Al Sakkaf, U. Al Khawaja
We develop a high accuracy power series method for solving partial differential equations with emphasis on the nonlinear Schrödinger equations. The accuracy and computing speed can…