Backlund Transformation and L2-stability of NLS Solitons
Backlund Transformation and L2-stability of NLS Solitons
Ground states of an L2-subcritical focusing nonlinear Schrödinger (NLS) equation are known to be orbitally stable in the energy class thanks to its variational characterization. In this paper, we will show L2-stability of 1-solitons to a one-dimensional cubic NLS equation in the sense that for any initial data which are …