Stability and Instability of Solitary Waves for Abstract Complex Hamiltonian System

Stability and Instability of Solitary Waves for Abstract Complex Hamiltonian System

Year:    2005

Journal of Partial Differential Equations, Vol. 18 (2005), Iss. 4 : pp. 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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2005-JPDE-5371

Journal of Partial Differential Equations, Vol. 18 (2005), Iss. 4 : pp. 371–383

Published online:    2005-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    13

Keywords:    Complex Hamiltonian systems