Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Determinant form of modulation equations for the semiclassical focusing
  Nonlinear Schr\" odinger equation   We derive a determinant formula for the WKB exponential of singularly
perturbed Zakharov-Shabat system that corresponds to the semiclassical (zero
dispersion) limit of the focusing Nonlinear Schr\" odinger equation. The
derivation is based on the Riemann-Hilbert Problem (RHP) representation of the
WKB exponential. We also prove its independence of the branchpoints of the
corresponding hyperelliptic surface assuming that the modulation equations are
satisfied.

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The categories of this paper are: hep-th
25
The categories of this paper are: patt-sol
36
The categories of this paper are: cmp-lg
33
The categories of this paper are: plasm-ph
28
The categories of this paper are: alg-geom
29
The categories of this paper are: funct-an
8
The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys
19
The categories of this paper are: eess
12
The categories of this paper are: nucl-th
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The categories of this paper are: hep-ph
1
The categories of this paper are: cs
22
The categories of this paper are: chao-dyn
35
The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
24
The categories of this paper are: dg-ga