Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stable Control of Pulse Speed in Parametric Three-Wave Solitons   We analyze the control of the propagation speed of three wave packets
interacting in a medium with quadratic nonlinearity and dispersion. We found
analytical expressions for mutually trapped pulses with a common velocity in
the form of a three-parameter family of solutions of the three-wave resonant
interaction. The stability of these novel parametric solitons is simply related
to the value of their common group velocity.

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The categories of this paper are: cmp-lg
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The categories of this paper are: gr-qc
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The categories of this paper are: econ
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The categories of this paper are: acc-phys
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The categories of this paper are: math-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: q-fin
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The categories of this paper are: chem-ph
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The categories of this paper are: stat
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The categories of this paper are: mtrl-th
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The categories of this paper are: supr-con
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The categories of this paper are: adap-org
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The categories of this paper are: ao-sci
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The categories of this paper are: chao-dyn
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The categories of this paper are: quant-ph
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The categories of this paper are: alg-geom