KP Example Movies
The following movies were produced using the program
presented in the paper "Three-phase solutions of the
Kadomtsev-Petviashvili equation", by B. Dubrovin, R. Flickinger and H.Segur
(Studies in Applied Mathematics, 99, 137-203 (1997). Parameters given correspond
to the input parameters of this program.
Movie 1
Parameters
| alpha |
3 |
| beta |
2.52 |
| gamma |
10 |
| lambda |
0.4 |
| mu |
0.4 |
| nu |
0.285714 |
| k1 |
0.8 |
| k2 |
0.8 |
| k3 |
0.459342 |
| l1 |
0.410449 |
| l2 |
-0.410450 |
| l3 |
0 |
| omega1 |
-1.664250 |
| omega2 |
-1.664253 |
| omega3 |
-0.956224 |
| square root |
+ |
Movie 2
Parameters
| alpha |
3 |
| beta |
2.52 |
| gamma |
3 |
| lambda |
0.4 |
| mu |
0.4 |
| nu |
0.285714 |
| k1 |
0.8 |
| k2 |
0.8 |
| k3 |
0.459610 |
| l1 |
0.410449 |
| l2 |
-0.410409 |
| l3 |
0.000012 |
| omega1 |
-1.666507 |
| omega2 |
-1.666383 |
| omega3 |
-0.959431 |
| square root |
+ |
Movie 3
Parameters
| alpha |
3 |
| beta |
2.52 |
| gamma |
2.32 |
| lambda |
0.4 |
| mu |
0.4 |
| nu |
0.285714 |
| k1 |
0.8 |
| k2 |
0.8 |
| k3 |
0.459978 |
| l1 |
0.410375 |
| l2 |
-0.410377 |
| l3 |
-0.000001 |
| omega1 |
-1.669201 |
| omega2 |
-1.669208 |
| omega3 |
-0.963611 |
| square root |
+ |
Movie 4
Parameters
| alpha |
1.5 |
| beta |
2.52 |
| gamma |
2.32 |
| lambda |
0.4 |
| mu |
0.4 |
| nu |
0.285714 |
| k1 |
0.259877 |
| k2 |
0.8 |
| k3 |
0.801123 |
| l1 |
0 |
| l2 |
-0.523969 |
| l3 |
0.525488 |
| omega1 |
-0.834677 |
| omega2 |
-2.559670 |
| omega3 |
-2.563378 |
| square root |
+ |
Movie 5
Parameters
| alpha |
1.5 |
| beta |
2.52 |
| gamma |
2.32 |
| lambda |
0.4 |
| mu |
0.4 |
| nu |
0.285714 |
| k1 |
0.259877 |
| k2 |
0.8 |
| k3 |
0.801123 |
| l1 |
0 |
| l2 |
-0.523969 |
| l3 |
0.525488 |
| omega1 |
-0.834677 |
| omega2 |
-2.559670 |
| omega3 |
-2.563378 |
| square root |
+ |
Movie 6
Parameters
| alpha |
2 |
| beta |
4.29 |
| gamma |
4.3 |
| lambda |
0.484 |
| mu |
0.5 |
| nu |
0.074866 |
| k1 |
0.5 |
| k2 |
1 |
| k3 |
1.100330 |
| l1 |
-0.2 |
| l2 |
-1.451839 |
| l3 |
0.641031 |
| omega1 |
-1.037749 |
| omega2 |
-6.462976 |
| omega3 |
-0.855550 |
| square root |
+ |
Movie 7
Parameters
| alpha |
2 |
| beta |
4.29 |
| gamma |
4.3 |
| lambda |
0.484 |
| mu |
0.5 |
| nu |
0.074866 |
| k1 |
0.4 |
| k2 |
1 |
| k3 |
0.704423 |
| l1 |
-0.2 |
| l2 |
0.264009 |
| l3 |
-0.929017 |
| omega1 |
-0.709951 |
| omega2 |
0.266712 |
| omega3 |
-3.972797 |
| square root |
- |
Movie 8
Parameters
| alpha |
4 |
| beta |
4.29 |
| gamma |
4.3 |
| lambda |
0.484 |
| mu |
0.5 |
| nu |
0.074866 |
| k1 |
1 |
| k2 |
1 |
| k3 |
1.639791 |
| l1 |
0.5 |
| l2 |
1.273719 |
| l3 |
-0.275254 |
| omega1 |
-0.736720 |
| omega2 |
-5.193072 |
| omega3 |
3.284102 |
| square root |
- |