Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Variational existence theory for hydroelastic solitary waves   This paper presents an existence theory for solitary waves at the interface
between a thin ice sheet (modelled using the Cosserat theory of hyperelastic
shells) and an ideal fluid (of finite depth and in irrotational motion) for
sufficiently large values of a dimensionless parameter $\gamma$. We establish
the existence of a minimiser of the wave energy ${\mathcal E}$ subject to the
constraint ${\mathcal I}=2\mu$, where ${\mathcal I}$ is the horizontal impulse
and $0< \mu \ll 1$, and show that the solitary waves detected by our
variational method converge (after an appropriate rescaling) to solutions of he
nonlinear Schr\"{o}dinger equation with cubic focussing nonlinearity as $\mu
\downarrow 0$.

20
The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
23
The categories of this paper are: solv-int
32
The categories of this paper are: atom-ph
25
The categories of this paper are: patt-sol
15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
3
The categories of this paper are: physics
0
The categories of this paper are: hep-ph
31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
5
The categories of this paper are: gr-qc