Corpus ID: 211068770

On a nonlinear Schr{ö}dinger equation for nucleons in one space dimension

  title={On a nonlinear Schr\{{\"o}\}dinger equation for nucleons in one space dimension},
  author={Christian Klein and Simona Rota Nodari},
  • Christian Klein, Simona Rota Nodari
  • Published 2020
  • Mathematics, Computer Science
  • ArXiv
  • 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. 

    Figures and Topics from this paper.