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

Nonlinear Sciences – Pattern Formation and Solitons

Scientific paper

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9 pages

Scientific paper

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 $\ell^2$ from the linear superposition of two
solitary waves goes to zero as time goes to infinity.

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