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On a nonlinear Schrödinger equation for nucleons in one space dimension
Simona Rota NodariChristian Kleinsubject
numerical studySpace dimensionNonlinear Schrö010103 numerical & computational mathematicsNonlinear Schrödinger equations01 natural sciencesStability (probability)symbols.namesakeMathematics - Analysis of PDEs[MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP]Mathematics - Numerical Analysis0101 mathematics[MATH]Mathematics [math]dinger equationsNonlinear Schrödinger equationMathematicsMSC 35Q55 35C08 65M70Numerical AnalysisApplied Mathematics010102 general mathematicsTime evolutionground statesComputational MathematicsClassical mechanicsModeling and SimulationAtomic nucleussymbolsParticleNucleonAnalysis[MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA]description
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2021-03-01 |