8 citations · 8 across the 4 of their papers we have counts for
5 papers
On the asymptotic distribution of the largest eigenvalue of unbalanced complex Jacobi ensembles
Gustavo Didier, Aikaterini Gkogkou, John Lopez Santander +1
Let and be two independent complex Wishart random matrices. In this work, we investiga…
Painlevé Universality classes for the maximal amplitude solution of the Focusing Nonlinear Schrödinger Equation with randomness
Aikaterini Gkogkou, Guido Mazzuca, Kenneth D. T-R McLaughlin
We establish universality for extremal solutions of the focusing nonlinear Schrödinger equation. Extremal solutions are -soliton solutions that achieve the theoretical maximal a…
The formation of a soliton gas condensate for the focusing Nonlinear Schrödinger equation
Aikaterini Gkogkou, Guido Mazzuca, Kenneth D. T-R McLaughlin
In this work, we carry out a rigorous analysis of a multi-soliton solution of the focusing nonlinear Schrödinger equation as the number, , of solitons grows to infinity. We disc…
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…
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…