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Homoclinic orbits in the near-integrable double discrete sine-Gordon equation

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posted on 16.01.2006 by Vassilios M. Rothos
We 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.

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  • Science

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  • Mathematical Sciences

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300516 bytes

Publication date

2001

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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.

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