Orbital stability of standing waves for some nonlinear Schrödinger equations

  title={Orbital stability of standing waves for some nonlinear Schr{\"o}dinger equations},
  author={Thierry Cazenave and Pierre-Louis Lions},
  journal={Communications in Mathematical Physics},
  • T. Cazenave, P. Lions
  • Published 1 December 1982
  • Mathematics, Physics
  • Communications in Mathematical Physics
We present a general method which enables us to prove the orbital stability of some standing waves in nonlinear Schrödinger equations. For example, we treat the cases of nonlinear Schrödinger equations arising in laser beams, of time-dependent Hartree equations .... 

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