10 citations · 16 across the 3 of their papers we have counts for
13 papers
Dark Soliton Scattering in Symmetric and Asymmetric Double Potential Barriers
F. Tsitoura, Z. A. Anastassi, J. L. Marzuola +2
Motivated by the recent theoretical study of (bright) soliton diode effects in systems with multiple scatterers, as well as by experimental investigations of soliton-impurity inter…
Spatiotemporal algebraically localized waveforms for a nonlinear Schrödinger model with gain and loss
Z. A. Anastassi, G. Fotopoulos, D. J. Frantzeskakis +5
We consider the asymptotic behavior of the solutions of a nonlinear Schrödinger (NLS) model incorporating linear and nonlinear gain/loss. First, we describe analytically the dynami…
Dark solitons near potential and nonlinearity steps
F. Tsitoura, Z. A. Anastassi, J. L. Marzuola +2
We study dark solitons near potential and nonlinearity steps and combinations thereof, forming rectangular barriers. This setting is relevant to the contexts of atomic Bose-Einstei…
A Phase-Fitted Runge-Kutta-Nyström method for the Numerical Solution of Initial Value Problems with Oscillating Solutions
D. F. Papadopoulos, Z. A. Anastassi, T. E. Simos
A new Runge-Kutta-Nyström method, with phase-lag of order infinity, for the integration of second-order periodic initial-value problems is developed in this paper. The new method i…
Zero Dispersion and Zero Dissipation Implicit Runge-Kutta Methods for the Numerical Solution of Oscillating IVPs
N. G. Tselios, Z. A. Anastassi, T. E. Simos
In this paper we present two new methods based on an implicit Runge-Kutta method Gauss which is of algebraic order fourth and has two stages: the first one has zero dispersion and…
High Order Phase Fitted Multistep Integrators for the Schrödinger Equation with Improved Frequency Tolerance
D. S. Vlachos, Z. A. Anastassi, T. E. Simos
In this work we introduce a new family of 14-steps linear multistep methods for the integration of the Schrödinger equation. The new methods are phase fitted but they are designed…