Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nonlinear hyperbolic equations in surface theory: integrable
  discretizations and approximation results   A numerical scheme is developed for solution of the Goursat problem for a
class of nonlinear hyperbolic systems with an arbitrary number of independent
variables. Convergence results are proved for this difference scheme. These
results are applied to hyperbolic systems of differential-geometric origin,
like the sine-Gordon equation describing the surfaces of the constant negative
Gaussian curvature (K-surfaces). In particular, we prove the convergence of
discrete K--surfaces and their Backlund transformations to their continuous
counterparts. This puts on a firm basis the generally accepted belief (which
however remained unproved untill this work) that the classical differential
geometry of integrable classes of surfaces and the classical theory of
transformations of such surfaces may be obtained from a unifying
multi-dimensional discrete theory by a refinement of the coordinate mesh-size
in some of the directions

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The categories of this paper are: hep-ph
14
The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph
24
The categories of this paper are: dg-ga
30
The categories of this paper are: q-alg
17
The categories of this paper are: q-fin
1
The categories of this paper are: cs
16
The categories of this paper are: stat
20
The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an
21
The categories of this paper are: adap-org
22
The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
33
The categories of this paper are: plasm-ph
4
The categories of this paper are: cond-mat
7
The categories of this paper are: hep-th