Asymptotic two-soliton solutions in the Fermi-Pasta-Ulam model

preprint2008arXivOpen access

Abstract

We prove the existence of asymptotic two-soliton states in the Fermi-Pasta-Ulam model with general interaction potential. That is, we exhibit solutions whose difference in ℓ2\ell^2 from the linear superposition of two solitary waves goes to zero as time goes to infinity.

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