Asymptotic formulas for solitary waves in the high-energy limit of FPU-type chains

作者：Herrmann Michael^*; Matthies Karsten

来源：Nonlinearity, 2015, 28(8): 2767-2789.

DOI：10.1088/0951-7715/28/8/2767

• asymptotic analysis
• lattice waves
• high-energy limit of FPU-type chains

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.

• 出版日期2015-8