Stability of Discrete Solitons and Quasicollapse to Intrinsically Localized Modes
- 22 August 1994
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 73 (8) , 1055-1059
- https://doi.org/10.1103/physrevlett.73.1055
Abstract
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 Schrödinger equation, but can be generalized to other systems.Keywords
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