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Homoclinic orbits in the near-integrable double discrete sine-Gordon equation
preprint
posted on 2006-01-16, 11:03 authored by Vassilios M. RothosWe establish the existence of homoclinic orbits for the near{integrable double discrete sine-Gordon
(dDSG) equation under periodic boundary conditions. The hyperbolic structure and homoclinic or-
bits are constructed through the Backlund transformation and Lax pair. A geometric perturbation
method based on Mel'nikov analysis is used to establish necessary criteria for the persistent of tem-
porally homoclinic orbits for the class of dDSGequations with dissipative perturbations.
History
School
- Science
Department
- Mathematical Sciences
Pages
300516 bytesPublication date
2001Notes
This is a pre-print. The definitive version: ROTHOS, V.M., 2001. Homoclinic orbits in the near-integrable double discrete sine-Gordon equation. Journal of Physics A - Mathematical and General, 34(17), pp.3671-3688, is available at: http://www.iop.org/EJ/journal/JPhysA.Language
- en