Gausson dynamics for logarithmic Schrödinger equations

Article type: Research Article

Authors: Ardila, Alex H.^a | Squassina, Marco^{b; *}

Affiliations: [a] Instituto Nacional de Matemática Pura e Aplicada – IMPA, Estrada Dona Castorina, 110 CEP 22460-320, Rio de Janeiro, RJ – Brasil. E-mail: ardila@impa.br | [b] Dipartimento di Matematica e Fisica, Università Cattolica del Sacro Cuore, Via dei Musei 41, I-25121 Brescia, Italy. E-mail: marco.squassina@unicatt.it

Correspondence: [*] Corresponding author. E-mail: marco.squassina@unicatt.it.

Abstract: In this paper we study the validity of a Gausson (soliton) dynamics of the logarithmic Schrödinger equation in presence of a smooth external potential.

Keywords: Soliton dynamics, logarithmic Schrödinger equation, Gausson

DOI: 10.3233/ASY-171458

Journal: Asymptotic Analysis, vol. 107, no. 3-4, pp. 203-226, 2018