Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nanopteron-stegoton traveling waves in spring dimer
  Fermi-Pasta-Ulam-Tsingou lattices   We study the existence of traveling waves in a spring dimer
Fermi-Pasta-Ulam-Tsingou (FPUT) lattice. This is a one-dimensional lattice of
identical particles connected by alternating nonlinear springs. Following the
work of Faver and Wright on the mass dimer, or diatomic, lattice, we find that
the lattice equations in the long wave regime are singularly perturbed and
apply a method of Beale to produce nanopteron traveling waves with wave speed
slightly greater than the lattice's speed of sound. The nanopteron wave
profiles are the superposition of an exponentially decaying term (which itself
is a small perturbation of a KdV sech2-type soliton) and a periodic term of
very small amplitude. Generalizing our work in the diatomic case, we allow the
nonlinearity in the spring forces to have the more complicated form "quadratic
plus higher order terms." This necessitates the use of composition operators to
phrase the long wave problem, and these operators require delicate estimates
due to the characteristic superposition of function types from Beale's ansatz.
Unlike the diatomic case, the value of the leading order term in the traveling
wave profiles alternates between particle sites, so that the spring dimer
traveling waves are also "stegotons," in the terminology of LeVeque and Yong.
This behavior is absent in the mass dimer and confirms the approximation
results of Gaison, Moskow, Wright, and Zhang for the spring dimer.

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The categories of this paper are: stat
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The categories of this paper are: eess
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The categories of this paper are: plasm-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: physics
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The categories of this paper are: adap-org
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The categories of this paper are: bayes-an
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The categories of this paper are: patt-sol
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The categories of this paper are: gr-qc
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The categories of this paper are: comp-gas
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-ex
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-ph
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The categories of this paper are: solv-int
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The categories of this paper are: hep-lat