An analytical stability criterion for discrete solitons is presented. Its evaluation proves that discreteness reduces (in comparison with the continuum results) the critical nonlinearity parameter (which separates stable and unstable regimes). Unstable discrete solitons may "collapse" into the more stable intrinsically localized states. The theory applies to a discrete nonlinear Schr\"odinger equation, but can be generalized to other systems.
No takes yet. Share an insight, caveat, or question.
Laedke et al. (1994) studied this question.
Synapse has enriched 4 closely related papers on similar clinical questions. Consider them for comparative context: