Global Attraction to Solitary Waves in Models Based on the Klein-Gordon Equation

abstract

• We review recent results on global attractors of U(1)-invariant dispersive Hamiltonian systems. We study several models based on the Klein-Gordon equation and sketch the proof that in these models, under certain generic assumptions, the weak global attractor is represented by the set of all solitary waves. In general, the attractors may also contain multifrequency solitary waves; we give examples of systems which contain such solutions.

authors

• Comech, Andrew

published proceedings

• Symmetry Integrability and Geometry Methods and Applications

author list (cited authors)

• Komech, A. I.

citation count

• 6

complete list of authors

• Komech, Alexander I

publication date

• January 2008

publisher

• SIGMA (Symmetry, Integrability and Geometry: Methods and Application)  Publisher

published in

• Symmetry, Integrability and Geometry: Methods and Applications  Journal

Digital Object Identifier (DOI)

• 10.3842/sigma.2008.010

volume

• 4

URL

• http://dx.doi.org/10.3842/sigma.2008.010