On a nonlinear Schrodinger equation for nucleons in one space dimension

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TitreOn a nonlinear Schrodinger equation for nucleons in one space dimension
Type de publicationJournal Article
Year of Publication2021
AuteursKlein C, Nodari SRota
JournalESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE
Volume55
Pagination409-427
Date PublishedMAR 15
Type of ArticleArticle
ISSN0764-583X
Mots-clésdinger equations, ground states, Nonlinear Schr&\#246, numerical study
Résumé

We study a 1D nonlinear Schrodinger equation appearing in the description of a particle inside an atomic nucleus. For various nonlinearities, the ground states are discussed and given in explicit form. Their stability is studied numerically via the time evolution of perturbed ground states. In the time evolution of general localized initial data, they are shown to appear in the long time behaviour of certain cases.
DOI10.1051/m2an/2020086