Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Constructing a class of solutions for the Hamilton-Jacobi equation in
  field theory   A new approach leading to the formulation of the Hamilton-Jacobi equation for
field theories is investigated within the framework of jet-bundles and
multi-symplectic manifolds. An algorithm associating classes of solutions to
given sets of boundary conditions of the field equations is provided. The paper
also puts into evidence the intrinsic limits of the Hamilton-Jacobi method as
an algorithm to determine families of solutions of the field equations, showing
how the choice of the boundary data is often limited by compatibility
conditions.

33
The categories of this paper are: plasm-ph
34
The categories of this paper are: chem-ph
32
The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th
29
The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom
7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat
24
The categories of this paper are: dg-ga
17
The categories of this paper are: q-fin
25
The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio
37
The categories of this paper are: supr-con
23
The categories of this paper are: solv-int
6
The categories of this paper are: astro-ph
18
The categories of this paper are: econ