Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Exact Elliptic Compactons in Generalized Korteweg-DeVries Equations   We derive a general theorem relating the energy, momentum and velocity of any
solitary wave solution of the generalized KdV equation which enables us to
relate the amplitude, width, and momentum to the velocity of these solutions.
We obtain the general condition for linear and Lyapunov stability. We then
obtain a two parameter family of exact solutions to these equations which
include elliptic and hyper-elliptic compacton solutions. For this general
family we explicitly verify both the theorem and the stability criteria.

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The categories of this paper are: funct-an
23
The categories of this paper are: solv-int
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The categories of this paper are: adap-org
8
The categories of this paper are: hep-ex
15
The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol
1
The categories of this paper are: cs
32
The categories of this paper are: atom-ph
12
The categories of this paper are: nucl-th
14
The categories of this paper are: math-ph
0
The categories of this paper are: hep-ph
13
The categories of this paper are: quant-ph
28
The categories of this paper are: alg-geom
18
The categories of this paper are: econ
24
The categories of this paper are: dg-ga