English

Soliton dynamics of NLS with singular potentials

Analysis of PDEs 2012-06-11 v1 Dynamical Systems

Abstract

We investigate the validity of a soliton dynamics behavior in the semi-relativistic limit for the nonlinear Schr\"odinger equation in RN,N3\R^{N}, N\ge 3, in presence of a singular external potential.

Keywords

Cite

@article{arxiv.1206.1832,
  title  = {Soliton dynamics of NLS with singular potentials},
  author = {Claudio Bonanno and Marco Ghimenti and Marco Squassina},
  journal= {arXiv preprint arXiv:1206.1832},
  year   = {2012}
}

Comments

23 pages

R2 v1 2026-06-21T21:16:30.277Z