Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Riemann problems and dispersive shocks in self-focusing media   The dynamical behavior resulting from an initial discontinuity in focusing
media is investigated using a combination of numerical simulations and Whitham
modulation theory for the focusing nonlinear Schrodinger equation. Initial
conditions with a jump in either or both the amplitude and the local wavenumber
are considered. It is shown analytically and numerically that the space-time
plane divides into expanding domains in which the solution is described by a
slow modulation of genus-zero, genus-one or genus-two solutions, their precise
arrangement depending on the specifics of the initial datum

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The categories of this paper are: cond-mat
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The categories of this paper are: adap-org
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The categories of this paper are: stat
20
The categories of this paper are: acc-phys
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The categories of this paper are: q-fin
0
The categories of this paper are: hep-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: gr-qc
12
The categories of this paper are: nucl-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: math-ph
32
The categories of this paper are: atom-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: alg-geom
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The categories of this paper are: q-bio
27
The categories of this paper are: comp-gas