2 papers
nlin.SI2025
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 back…
nlin.SI2024
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…