TY - JOUR
T1 - Stability and Instability of Solitary Waves for Abstract Complex Hamiltonian System
JO - Journal of Partial Differential Equations
VL - 4
SP - 371
EP - 383
PY - 2005
DA - 2005/11
SN - 18
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5371.html
KW - Complex Hamiltonian systems
KW - solitary wave
KW - orbital stability
KW - orbital instability
AB -  This paper is concerned with the orbital stability and orbital instability of solitary waves for some complex Hamiltonian systems in abstract form. Under some assumptions on the spectra of the related operator and the decaying estimates of the semigroup, the sufficient conditions on orbital stability and instability are obtained.