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16 papers · 1 filter
Weakly bound solitons and two-soliton molecules in dipolar Bose-Einstein condensates
B. B. Baizakov, S. M. Al-Marzoug, U. Al Khawaja +1
Analytic expressions have been derived for the interaction potential between dipolar bright solitons and the binding energy of a two-soliton molecule. The properties of these local…
Series solution of a ten-parameter second order differential equation with three regular and one irregular singularities
A. D. Alhaidari
We introduce a ten-parameter ordinary linear differential equation of the second order with four singular points. Three of these are finite and regular whereas the fourth is irregu…
Effect of quintic nonlinearity on modulation instability in coupled nonlinear Schroedinger systems
B. B. Baizakov, A. Bouketir, S. M. Al-Marzoug +1
Modulation instability (MI) in continuous media described by a system of two cubic-quintic nonlinear Schrödinger equations (NLSE) has been investigated with a focus on revealing th…
Effect of Magnetic Field on Goos-Hänchen Shifts in Gaped Graphene Triangular Barrier
Miloud Mekkaoui, Ahmed Jellal, Hocine Bahlouli
We study the effect of a magnetic field on Goos-Hänchen shifts in gaped graphene subjected to a double triangular barrier. Solving the wave equation separately in each region compo…
Exact scattering and bound states solutions for novel hyperbolic potentials with inverse square singularity
A. D. Alhaidari
We use the Tridiagonal Representation Approach (TRA) to obtain exact scattering and bound states solutions of the Schrödinger equation for short-range inverse-square singular hyper…
Electric dipole and quadrupole contributions to valence electron binding in a charge-screening environment
A. D. Alhaidari, H. Bahlouli
We make a multipole expansion of the atomic/molecular electrostatic charge distribution as seen by the valence electron up to the quadrupole term. The Tridiagonal Representation Ap…