74 citations · 366 across the 22 of their papers we have counts for
22 papers
On the discrete Kuznetsov-Ma solutions for the defocusing Ablowitz-Ladik equation with large background amplitude
Evans C. Boadi, Efstathios G. Charalampidis, Panayotis G. Kevrekidis +2
The focus of this work is on a class of solutions of the defocusing Ablowitz-Ladik lattice on an arbitrarily large background which are discrete analogs of the Kuznetsov-Ma (KM) br…
Numerical inverse scattering transform for the defocusing nonlinear Schrödinger equation with box-type initial conditions on a nonzero background
Aikaterini Gkogkou, Barbara Prinari, Thomas Trogdon
We present a method to solve numerically the Cauchy problem for the defocusing nonlinear Schrödinger (NLS) equation with a box-type initial condition (IC) having a nontrivial backg…
Local and global well-posedness of the Maxwell-Bloch system of equations with inhomogeneous broadening
Gino Biondini, Barbara Prinari, Zechuan Zhang
The Maxwell-Bloch system of equations with inhomogeneous broadening is studied, and the local and global well-posedness of the corresponding initial-boundary value problem is estab…
On Maxwell-Bloch systems with inhomogeneous broadening and one-sided nonzero background
Asela Abeya, Gino Biondini, Gregor Kovačič +1
The inverse scattering transform is developed to solve the Maxwell-Bloch system of equations that describes two-level systems with inhomogeneous broadening, in the case of optical…
Soliton interactions and Yang-Baxter maps for the complex coupled short-pulse equation
Vincent Caudrelier, Aikaterini Gkogkou, Barbara Prinari
The complex coupled short pulse equation (ccSPE) describes the propagation of ultra-short optical pulses in nonlinear birefringent fibers. The system admits a variety of vector sol…
Theoretical and numerical evidence for the potential realization of the Peregrine soliton in repulsive two-component Bose-Einstein condensates
A. Romero-Ros, G. C. Katsimiga, S. I. Mistakidis +4
The present work is motivated by the recent experimental realization of the Townes soliton in an effective two-component Bose-Einstein condensate by B. Bakkali-Hassan et al. [Phys.…