Stability of discrete solitons in the presence of parametric driving

H. Susanto, Q. E. Hoq, P. G. Kevrekidis

Research output: Contribution to journalArticlepeer-review

19 Scopus citations


In this Brief Report, we consider parametrically driven bright solitons in the vicinity of the anticontinuum limit. We illustrate the mechanism through which these solitons become unstable due to the collision of the phase mode with the continuous spectrum, or eigenvalues bifurcating thereof. We show how this mechanism typically leads to complete destruction of the bright solitary wave.

Original languageBritish English
Article number067601
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Issue number6
StatePublished - 2006


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