Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Universal breaking point asymptotic for energy spectrum of Riemann waves
  in weakly nonlinear non-dispersive media   In this Letter we study the form of the energy spectrum of Riemann waves in
weakly nonlinear non-dispersive media. For quadratic and cubic nonlinearity we
demonstrate that the deformation of an Riemann wave over time yields an
exponential energy spectrum which turns into power law asymptotic with the
slope being approximately -8/3 at the last stage of evolution before breaking.
We argue, that this is the universal asymptotic behaviour of Riemann waves in
any nonlinear non-dispersive medium at the point of breaking. The results
reported in this Letter can be used in various non-dispersive media, e.g.
magneto-hydro dynamics, physical oceanography, nonlinear acoustics.

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The categories of this paper are: hep-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: acc-phys
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The categories of this paper are: patt-sol
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The categories of this paper are: mtrl-th
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The categories of this paper are: funct-an
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The categories of this paper are: comp-gas
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The categories of this paper are: math-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: q-alg
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The categories of this paper are: hep-lat
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The categories of this paper are: stat
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The categories of this paper are: ao-sci
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The categories of this paper are: plasm-ph
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The categories of this paper are: econ
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The categories of this paper are: supr-con