High-Energy Waves in Superpolynomial FPU-Type Chains

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• 作者：Michael Herrmann
• 关键词：Asymptotic analysis ; Nonlinear lattice waves ; High ; energy limit in atomic chains
• 刊名：Journal of Nonlinear Science
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：27
• 期：1
• 页码：213-240
• 全文大小：
• 刊物类别：Mathematics and Statistics
• 刊物主题：Analysis; Theoretical, Mathematical and Computational Physics; Classical Mechanics; Appl.Mathematics/Computational Methods of Engineering; Economic Theory/Quantitative Economics/Mathematical Methods;
• 出版者：Springer US
• ISSN：1432-1467
• 卷排序：27

文摘

We consider periodic traveling waves in FPU-type chains with superpolynomial interaction forces and derive explicit asymptotic formulas for the high-energy limit as well as bounds for the corresponding approximation error. In the proof we adapt twoscale techniques that have recently been developed by Herrmann and Matthies for chains with singular potential and provide an asymptotic ODE for the scaled distance profile.