48 citations · 537 across the 51 of their papers we have counts for
5 papers · 1 filter
On nonlocal reductions of the multi-component nonlinear Schrodinger equation on symmetric spaces
Georgi G. Grahovski, Junaid I. Mustafa, Hadi Susanto
The aim of this paper is to develop the inverse scattering transform (IST) for multi-component generalisations of nonlocal reductions of the nonlinear Schrodinger (NLS) equation wi…
Nonlocal reductions of the Ablowitz-Ladik equation
Georgi G. Grahovski, Amal J. Mohammed, Hadi Susanto
The purpose of the present paper is to develop the inverse scattering transform for the nonlocal semi-discrete nonlinear Schrodinger equation (known as Ablowitz-Ladik equation) wit…
Gain-loss-driven travelling waves in PT-symmetric nonlinear metamaterials
M. Agaoglou, M. Feckan, M. Pospisil +2
In this work we investigate a one-dimensional parity-time (PT)-symmetric magnetic metamaterial consisting of split-ring dimers having gain or loss. Employing a Melnikov analysis we…
Newton's method's basins of attraction revisited
H. Susanto, N. Karjanto
In this paper, we revisit the chaotic number of iterations needed by Newton's method to converge to a root. Here, we consider a simple modified Newton method depending on a paramet…
Black holes will break up solitons and white holes may destroy them
Fiki T. Akbar, Bobby E. Gunara, Hadi Susanto
We consider a quantum analogue of black holes and white holes using Bose-Einstein condensates. The model is described by the nonlinear Schrodinger equation with a 'stream flow' pot…