Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Uniqueness of solitary waves in the high-energy limit of FPU-type chains   Recent asymptotic results by the authors provided detailed information on the
shape of solitary high-energy travelling waves in FPU atomic chains. In this
note we use and extend the methods to understand the linearisation of the
travelling wave equation. We show that there are not any other zero eigenvalues
than those created by the translation symmetry and this implies a local
uniqueness result. The key argument in our asymptotic analysis is to replace
the linear advance-delay-differential equation for the eigenfunctions by an
approximate ODE.

19
The categories of this paper are: eess
37
The categories of this paper are: supr-con
12
The categories of this paper are: nucl-th
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
31
The categories of this paper are: ao-sci
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
4
The categories of this paper are: cond-mat
25
The categories of this paper are: patt-sol
14
The categories of this paper are: math-ph
16
The categories of this paper are: stat
24
The categories of this paper are: dg-ga
21
The categories of this paper are: adap-org
8
The categories of this paper are: hep-ex