Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Compactons and their variational properties for degenerate KdV and NLS
  in dimension 1   We analyze the stationary and traveling wave solutions to a family of
degenerate dispersive equations of KdV and NLS-type. In stark contrast to the
standard soliton solutions for non-degenerate KdV and NLS equations, the
degeneracy of the elliptic operators studied here allows for compactly
supported steady or traveling states. As we work in $1$ dimension, ODE methods
apply, however the models considered have formally conserved Hamiltonian, Mass
and Momentum functionals, which allow for variational analysis as well.

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The categories of this paper are: hep-ex
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The categories of this paper are: econ
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The categories of this paper are: math-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: alg-geom
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The categories of this paper are: nlin
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The categories of this paper are: quant-ph
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The categories of this paper are: supr-con
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The categories of this paper are: chem-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: cs
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The categories of this paper are: dg-ga
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The categories of this paper are: stat
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The categories of this paper are: atom-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: comp-gas