Stability and Instability of Solitary Waves for Abstract Complex Hamiltonian System

Authors

  • Ye Zhao

Keywords:

Complex Hamiltonian systems;solitary wave;orbital stability;orbital instability

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.

Published

2020-05-12

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How to Cite

Stability and Instability of Solitary Waves for Abstract Complex Hamiltonian System. (2020). Journal of Partial Differential Equations, 18(4), 371-383. https://www.global-sci.com/index.php/jpde/article/view/4060