N-soliton states of the FPU lattices
N-soliton states of the FPU lattices
复制标题
FPU 晶格的 N 孤子态
DOI：
10.1137/100792457
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发表时间：
2011
影响因子：
2
通讯作者：
T.Mizumachi
中科院分区：
文献类型：
--
作者：
高崎金久;T.Takebe;L.P.Teo;T.Mizumachi
本文利用Mizumachi [Asymptotic Stability ofN-solitons of the FPU Lattices，preprint，http：//arxiv.org/abs/0906.1320]证明的指数加权空间中多孤子态的线性稳定性，证明了Fermi-Pasta-Ulam格点方程解的存在唯一性. [A.霍夫曼和C. E.韦恩，J.戴南。微分方程，21（2009），pp。343-351]。
In this paper, we prove existence and uniqueness of solutions to the Fermi–Pasta–Ulam lattice equation that converges to a sum of copropagatingNsolitary waves asusing a linear stability property of multisoliton states in an exponentially weighted space proven by Mizumachi [Asymptotic Stability ofN-solitons of the FPU Lattices, preprint, http://arxiv.org/abs/0906.1320]. Counterpropagating two soliton states have been studied by [A. Hoffman and C. E. Wayne,J. Dynam. Differential Equations, 21 (2009), pp. 343–351].