Skip to Main content Skip to Navigation
Journal articles

On a nonlinear Schrödinger equation for nucleons in one space dimension

Abstract : We study a 1D nonlinear Schrödinger 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.
Document type :
Journal articles
Complete list of metadata

https://hal.archives-ouvertes.fr/hal-03170056
Contributor : Edp Sciences <>
Submitted on : Monday, March 15, 2021 - 9:45:34 PM
Last modification on : Friday, April 2, 2021 - 3:38:26 AM

File

m2an200021.pdf
Publication funded by an institution

Identifiers

Citation

Christian Klein, Simona Rota Nodari. On a nonlinear Schrödinger equation for nucleons in one space dimension. ESAIM: Mathematical Modelling and Numerical Analysis, EDP Sciences, 2021, 55 (2), pp.409-427. ⟨10.1051/m2an/2020086⟩. ⟨hal-03170056⟩

Share

Metrics

Record views

16

Files downloads

30