Atomtronics deals with matter-wave circuits of ultracold atoms manipulated through
magnetic or laser-generated guides with different shapes and intensities. In this way, new …

This article offers a comprehensive survey of results obtained for solitons and complex
nonlinear wave patterns supported by nonlinear lattices (NLs), which represent a spatially …

We present a new family of stationary solutions to the cubic nonlinear Schrödinger equation
with an elliptic function potential. In the limit of a sinusoidal potential our solutions model a …

All stationary solutions to the one-dimensional nonlinear Schrödinger equation under box or
periodic boundary conditions are presented in analytic form for the case of attractive …