A quantitative approach to soliton instability

Boaz Ilan, Yonatan Sivan, Gadi Fibich
2011 Optics Letters  
We present an approach for instabilities of solitons that is based on the spectrum of a fourth-order linearized operator. Unlike the standard approach which is based on the slope (Vakhitov-Kolokolov) condition, this approach provides the quantitative value of the instability rate and the qualitative nature of the instability dynamics.
doi:10.1364/ol.36.000397 pmid:21283202 fatcat:qwgye6uulvgaxn26xqozlh6q6u