English

Soliton dynamics for a general class of Schr\"odinger equations

Analysis of PDEs 2009-11-13 v5

Abstract

The soliton dynamics for a general class of nonlinear focusing Schr\"odinger problems in presence of non-constant external (local and nonlocal) potentials is studied by taking as initial datum the ground state solution of an associated autonomous elliptic equation.

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Cite

@article{arxiv.0907.1550,
  title  = {Soliton dynamics for a general class of Schr\"odinger equations},
  author = {Raffaella Servadei and Marco Squassina},
  journal= {arXiv preprint arXiv:0907.1550},
  year   = {2009}
}

Comments

26 pages