Error control in Adomian's decomposition method applied to the time-dependent Gross-Pitaevskii equation. - Usama Al Khawaja; Kamel Al-Khaled (Int. J. Comput. Math., 2007)

Modulational instability analysis of the Peregrine soliton. - Usama Al Khawaja; H. Bahlouli; Md. Asaduzzaman; S. M. Al-Marzoug (Commun. Nonlinear Sci. Numer. Simul., 2014)

Modulational instability of the Kuznetsov-Ma breather in optical fibers with constant and periodic dispersion. - Usama Al Khawaja; S. M. Al-Marzoug; H. Bahlouli; F. Kh. Abdullaev (Commun. Nonlinear Sci. Numer. Simul., 2016)

Peierls-Nabarro potential profile of discrete nonlinear Schrödinger equation. - Usama Al Khawaja; S. M. Al-Marzoug; H. Bahlouli (Commun. Nonlinear Sci. Numer. Simul., 2017)

Collisional dynamics of solitons in the coupled PT symmetric nonlocal nonlinear Schrödinger equations. - P. S. Vinayagam; R. Radha; Usama Al Khawaja; Liming Ling (Commun. Nonlinear Sci. Numer. Simul., 2017)

Lax Pair and new exact solutions of the nonlinear Dirac equation. - Y. H. Sabbah; Usama Al Khawaja; P. S. Vinayagam (Commun. Nonlinear Sci. Numer. Simul., 2018)

New classes of solutions in the coupled PT symmetric nonlocal nonlinear Schrödinger equations with four wave mixing. - P. S. Vinayagam; R. Radha; Usama Al Khawaja; Liming Ling (Commun. Nonlinear Sci. Numer. Simul., 2018)

A Numerical Algorithm for Solving Higher-Order Nonlinear BVPs with an Application on Fluid Flow over a Shrinking Permeable Infinite Long Cylinder. - Laila Y. Al Sakkaf; Qasem M. Al-Mdallal; Usama Al Khawaja (Complex., 2018)

Integrability conditions and solitonic solutions of the nonlinear Schrödinger equation with generalized dual-power nonlinearities, PT-symmetric potentials, and space- and time-dependent coefficients. - Usama Al Khawaja; H. Bahlouli (Commun. Nonlinear Sci. Numer. Simul., 2019)

Unidirectional flow of composite bright-bright solitons through asymmetric double potential barriers and wells. - Amaria Javed; T. Uthayakumar; Majed O. D. Alotaibi; S. M. Al-Marzoug; H. Bahlouli; Usama Al Khawaja (Commun. Nonlinear Sci. Numer. Simul., 2021)

High accuracy power series method for solving scalar, vector, and inhomogeneous nonlinear Schrödinger equations. - Laila Y. Al Sakkaf; Usama Al Khawaja (CoRR, 2021)