Stability of discrete solitons in the presence of parametric driving

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

doi:10.1103/PhysRevE.74.067601

Stability of discrete solitons in the presence of parametric driving

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

Mathematics

Research output: Contribution to journal › Article › peer-review

19 Scopus citations

Abstract

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 language	British English
Article number	067601
Journal	Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume	74
Issue number	6
DOIs	https://doi.org/10.1103/PhysRevE.74.067601
State	Published - 2006

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abstract = "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.",

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Stability of discrete solitons in the presence of parametric driving

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