Traveling Waves in the Underdamped Frenkel–Kontorova Model

Hengyan Li and Shaowei Liu

Discrete Dynamics in Nature and Society, 2018, vol. 2018, 1-9

Abstract:

This paper studies a damped Frenkel–Kontorova model with periodic boundary condition. By using Nash–Moser iteration scheme, we prove that such model has a family of smooth traveling wave solutions.

Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:7081804

DOI: 10.1155/2018/7081804

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