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Volume 18, Issue 4
Stability and Instability of Solitary Waves for Abstract Complex Hamiltonian System

Ye Zhao

J. Part. Diff. Eq., 18 (2005), pp. 371-383.

Published online: 2005-11

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  • Abstract
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.
  • Keywords

Complex Hamiltonian systems solitary wave orbital stability orbital instability

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@Article{JPDE-18-371, author = {Ye Zhao }, title = {Stability and Instability of Solitary Waves for Abstract Complex Hamiltonian System}, journal = {Journal of Partial Differential Equations}, year = {2005}, volume = {18}, number = {4}, pages = {371--383}, abstract = { 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.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5371.html} }
TY - JOUR T1 - Stability and Instability of Solitary Waves for Abstract Complex Hamiltonian System AU - Ye Zhao 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.
Ye Zhao . (2005). Stability and Instability of Solitary Waves for Abstract Complex Hamiltonian System. Journal of Partial Differential Equations. 18 (4). 371-383. doi:
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