Asymptotic two-soliton solutions in the Fermi-Pasta-Ulam model
Pattern Formation and Solitons
2015-05-13 v1
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 from the linear superposition of two solitary waves goes to zero as time goes to infinity.
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Cite
@article{arxiv.0809.3231,
title = {Asymptotic two-soliton solutions in the Fermi-Pasta-Ulam model},
author = {A. Hoffman and C. E. Wayne},
journal= {arXiv preprint arXiv:0809.3231},
year = {2015}
}
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9 pages