Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: One parameter family of Compacton Solutions in a class of Generalized
  Korteweg-DeVries Equations   We study the generalized Korteweg-DeVries equations derivable from the
Lagrangian: $ L(l,p) = \int \left( \frac{1}{2} \varphi_{x} \varphi_{t} - {
{(\varphi_{x})^{l}} \over {l(l-1)}} + \alpha(\varphi_{x})^{p}
(\varphi_{xx})^{2} \right) dx, $ where the usual fields $u(x,t)$ of the
generalized KdV equation are defined by $u(x,t) = \varphi_{x}(x,t)$. For $p$ an
arbitrary continuous parameter $0< p \leq 2 ,l=p+2$ we find compacton solutions
to these equations which have the feature that their width is independent of
the amplitude. This generalizes previous results which considered $p=1,2$. For
the exact compactons we find a relation between the energy, mass and velocity
of the solitons. We show that this relationship can also be obtained using a
variational method based on the principle of least action.

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The categories of this paper are: astro-ph
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The categories of this paper are: stat
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The categories of this paper are: chem-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: dg-ga
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The categories of this paper are: acc-phys
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The categories of this paper are: eess
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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: atom-ph
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The categories of this paper are: q-bio
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The categories of this paper are: alg-geom
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The categories of this paper are: chao-dyn
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The categories of this paper are: adap-org
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The categories of this paper are: q-fin
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The categories of this paper are: nucl-ex