no. 2
On a nonlinear Schrödinger equation for nucleons in one space dimension
ESAIM: Mathematical Modelling and Numerical Analysis , Tome 55 (2021) no. 2, pp. 409-427

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.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1051/m2an/2020086
Classification : 35Q55, 35C08, 65M70
Keywords: Nonlinear Schrödinger equations, ground states, numerical study 
@article{M2AN_2021__55_2_409_0,
     author = {Klein, Christian and Rota Nodari, Simona},
     title = {On a nonlinear {Schr\"odinger} equation for nucleons in one space dimension},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis },
     pages = {409--427},
     year = {2021},
     publisher = {EDP-Sciences},
     volume = {55},
     number = {2},
     doi = {10.1051/m2an/2020086},
     mrnumber = {4229193},
     zbl = {1476.35241},
     language = {en},
     url = {https://www.numdam.org/articles/10.1051/m2an/2020086/}
}
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Klein, Christian; Rota Nodari, Simona. On a nonlinear Schrödinger equation for nucleons in one space dimension. ESAIM: Mathematical Modelling and Numerical Analysis , Tome 55 (2021) no. 2, pp. 409-427. doi: 10.1051/m2an/2020086

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