Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Second-order multisymplectic field theory: A variational approach to
  second-order multisymplectic field theory   This paper presents a geometric-variational approach to continuous and
discrete {\it second-order} field theories following the methodology of
\cite{MPS}. Staying entirely in the Lagrangian framework and letting $Y$ denote
the configuration fiber bundle, we show that both the multisymplectic structure
on $J^3Y$ as well as the Noether theorem arise from the first variation of the
action function. We generalize the multisymplectic form formula derived for
first order field theories in \cite{MPS}, to the case of second-order field
theories, and we apply our theory to the Camassa-Holm (CH) equation in both the
continuous and discrete settings. Our discretization produces a
multisymplectic-momentum integrator, a generalization of the Moser-Veselov
rigid body algorithm to the setting of nonlinear PDEs with second order
Lagrangians.

15
The categories of this paper are: nucl-ex
28
The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
27
The categories of this paper are: comp-gas
11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
5
The categories of this paper are: gr-qc
31
The categories of this paper are: ao-sci
26
The categories of this paper are: bayes-an
1
The categories of this paper are: cs
21
The categories of this paper are: adap-org
13
The categories of this paper are: quant-ph
17
The categories of this paper are: q-fin
23
The categories of this paper are: solv-int