This paper actually deals with the KdV equation, instead of the KP equation.
Below, you can view or download the paper, but you can also download several
Mathematica (c) animations, related to the paper. To watch these animations, you
will need Mathematica 3.0 (c) or better.
The paper:
The instructions to download this paper are identical to the ones given before:
if your browser is set up right, acroread will pop up when you click on the
link below. If your browser is not set up right, you can download the paper. The
file you download is called "kdvpoledynamics.pdf". Once it is downloaded, use
acroread to view it.
Pole dynamics for elliptic solutions of the
Korteweg-deVries equation
by B. Deconinck and H. Segur
(submitted for publication)
The animations:
These are available in g-zipped form. There are three animations,
corresponding to three examples discussed in the paper. Clicking on the links
below allows you to download the animations as files with names of the form
"name.nb.gz". After downloading such a file, you can uncompress it by typing
"gunzip name.nb.gz". This produces a file with the name "name.nb". This file
can be opened using Mathematica (c), where you use the animation option to
watch the animations.
(Please note that some browsers are set up so that the file you download will
already be decompressed and it will appear in your directory as "name.nb".)
1. The 3-pole solution of Dubrovin and Novikov.
(B.A. Dubrovin and S.P. Novikov, Soviet Pys. JETP, 40:1058-1063,
1975)
2. A 4-pole solution
3. A 6-pole, 3-phase solution