Asymptotic formulas for solitary waves in the high-energy limit of FPU-type chains
Asymptotic formulas for solitary waves in the high-energy limit of FPU-type chains
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DOI：
10.1088/0951-7715/28/8/2767
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发表时间：
2015-02
期刊：
影响因子：
1.7
通讯作者：
M. Herrmann;Karsten Matthies
中科院分区：
文献类型：
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作者：
M. Herrmann;Karsten Matthies
FPU型链的孤立波在硬球模型的高能极限收敛于行波。在本文中，我们建立了改进的渐近表达式的波形以及一个明确的公式的波速。在我们的方法中的关键步骤是推导出一个渐近常微分方程的适当重新缩放的应变分布。
It is well established that the solitary waves of FPU-type chains converge in the high-energy limit to traveling waves of the hard-sphere model. In this paper we establish improved asymptotic expressions for the wave profiles as well as an explicit formula for the wave speed. The key step in our approach is the derivation of an asymptotic ODE for the appropriately rescaled strain profile.