11 citations · 26 across the 4 of their papers we have counts for
4 papers
A Search Method for Hirota Bilinear Systems of Nonlinear Evolution Equations
I. Albazlamit, L. Al Sakkaf, U. Al Khawaja
We present a systematic search method for finding Hirota bilinear systems of nonlinear evolution equations, with emphasis on the nonlinear Schrödinger equation (NLSE). Using a know…
Superposition principle and composite solutions to coupled nonlinear Schrödinger equations
L. Al Sakkaf, U. Al Khawaja
We show that the superposition principle applies to coupled nonlinear Schrödinger equations with cubic nonlinearity where exact solutions may be obtained as a linear combination of…
High-speed soliton ejection generated from the scattering of bright solitons by modulated reflectionless potential wells
T. Uthayakumar, L. Al Sakkaf, U. Al Khawaja
We investigate numerically and theoretically the conditions leading to soliton ejection stimulated through the scattering of bright solitons by modulated reflectionless potential w…
Singular Soliton Molecules of the Nonlinear Schrodinger Equation
Khelifa Mohammed Elhadj, L. Al Sakkaf, U. Al Khawaja +1
We derive an exact solution to the local nonlinear Schrödinger equation (NLSE) using the Darboux transformation method. The new solution describes the profile and dynamics of a two…