Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Small mass nanopteron traveling waves in mass-in-mass lattices with
  cubic FPUT potential   The mass-in-mass (MiM) lattice consists of an infinite chain of identical
beads that are both nonlinearly coupled to their nearest neighbors and linearly
coupled to a distinct resonator particle; it serves as a prototypical model of
wave propagation in granular crystals and metamaterials. We study traveling
waves in an MiM lattice whose bead interaction is governed by the cubic
Fermi-Pasta-Ulam-Tsingou potential and whose resonator mass is small compared
to the bead mass. Excluding a countable number of "antiresonance" resonator
masses accumulating at 0, we prove the existence of nanopteron traveling waves
in this small mass limit. The profiles of these waves consist of the
superposition of an exponentially localized core and a small amplitude periodic
oscillation that itself is a traveling wave profile for the lattice. Our
arguments use functional analytic techniques originally developed by Beale for
a capillary-gravity water wave problem and recently employed in a number of
related nanopteron constructions in diatomic Fermi-Pasta-Ulam-Tsingou lattices.

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The categories of this paper are: comp-gas
9
The categories of this paper are: nlin
4
The categories of this paper are: cond-mat
33
The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat
18
The categories of this paper are: econ
28
The categories of this paper are: alg-geom
14
The categories of this paper are: math-ph
10
The categories of this paper are: q-bio
13
The categories of this paper are: quant-ph
7
The categories of this paper are: hep-th
12
The categories of this paper are: nucl-th
17
The categories of this paper are: q-fin
15
The categories of this paper are: nucl-ex
20
The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc