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On a nonlinear Schrödinger equation for nucleons in one space dimension
- Source :
- ESAIM: Mathematical Modelling and Numerical Analysis, ESAIM: Mathematical Modelling and Numerical Analysis, EDP Sciences, 2021, 55 (2), pp.409-427. ⟨10.1051/m2an/2020086⟩
- Publication Year :
- 2021
- Publisher :
- HAL CCSD, 2021.
-
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.
- Subjects :
- numerical study
Space dimension
Nonlinear Schrö
010103 numerical & computational mathematics
Nonlinear Schrödinger equations
01 natural sciences
Stability (probability)
symbols.namesake
Mathematics - Analysis of PDEs
[MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP]
Mathematics - Numerical Analysis
0101 mathematics
[MATH]Mathematics [math]
dinger equations
Nonlinear Schrödinger equation
Mathematics
MSC 35Q55, 35C08, 65M70
Numerical Analysis
Applied Mathematics
010102 general mathematics
Time evolution
ground states
Computational Mathematics
Classical mechanics
Modeling and Simulation
Atomic nucleus
symbols
Particle
Nucleon
Analysis
[MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA]
Subjects
Details
- Language :
- English
- ISSN :
- 0764583X and 12903841
- Database :
- OpenAIRE
- Journal :
- ESAIM: Mathematical Modelling and Numerical Analysis, ESAIM: Mathematical Modelling and Numerical Analysis, EDP Sciences, 2021, 55 (2), pp.409-427. ⟨10.1051/m2an/2020086⟩
- Accession number :
- edsair.doi.dedup.....48889549a0d40bcd2a4e93c296a57170
- Full Text :
- https://doi.org/10.1051/m2an/2020086⟩