Asymptotic Two-Soliton Solutions in the Fermi-Pasta-Ulam Model

Asymptotic Two-Soliton Solutions in the Fermi-Pasta-Ulam Model
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Fermi-Pasta-Ulam 模型中的渐近二孤子解

DOI:
10.1007/s10884-009-9134-9
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发表时间:
2008
影响因子:
1.3
通讯作者:
C. E. Wayne
C. E. Wayne
中科院分区:
数学3区
文献类型:
--
作者:
A. Hoffman;C. E. Wayne

文献摘要

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证明了具有一般相互作用势的Fermi-Pasta-Ulam模型中渐近两孤子态的存在性。也就是说,我们展示的解决方案,其差异在λ 2从两个孤立波的线性叠加去为零,随着时间的推移到无穷大。
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 from the linear superposition of two solitary waves goes to zero as time goes to infinity.