arXiv (OAI Expanded)
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Radiation damping of the soliton internal mode in 1D quadratic Klein-Gordon equation
We study long-time dynamics of small even perturbations of the soliton in 1D quadratic Klein-Gordon equation. The soliton possesses both an internal mode and the unstable mode. On a codimension-one manifold of fine-tuned initial data the instability is suppressed and the internal mode decays slowly
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