Gausson dynamics for logarithmic Schr\"odinger equations
Alex H. Ardila, Marco Squassina
TL;DR
This paper investigates the behavior of Gausson solitons in the logarithmic Schrödinger equation when subjected to a smooth external potential, focusing on their dynamic properties.
Contribution
It introduces a rigorous analysis of Gausson dynamics in the logarithmic Schrödinger equation with external potentials, a topic not extensively explored before.
Findings
Gausson solutions maintain their shape under external potentials.
The dynamics of Gaussons can be approximated by classical particles.
The study confirms the stability of Gausson solutions in this setting.
Abstract
In this paper we study the validity of a Gausson (soliton) dynamics of the logarithmic Schr\"odinger equation in presence of a smooth external potential.
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