Timeline for Integrable dynamical system - relation to elliptic curves
Current License: CC BY-SA 2.5
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Feb 15, 2010 at 14:23 | answer | added | kakaz | timeline score: 2 | |
| Feb 9, 2010 at 7:17 | history | edited | kakaz | CC BY-SA 2.5 |
invariants?
|
| Feb 8, 2010 at 19:05 | vote | accept | kakaz | ||
| Feb 8, 2010 at 19:00 | comment | added | kakaz | As You are right, kdV has infinitely many conservation laws, it also is quasi-periodic motion! So probably it may be case of "infinite dimensional" tori, which obviously is not related to elliptic curves. I am physicist by education ( but not working as scientist, I treat math as fun and hobby), so kdV is something which is example of integrable system with nontrivial equations of motion. | |
| Feb 8, 2010 at 17:19 | comment | added | Justin Curry | This is a great question, but I do want to point out that KdV is an infinite-dimensional integrable system, so I am not sure if the tori interpretation makes sense in this setting. In particular, KdV admits infinitely many conservation laws! Drazin and Johnson's "Solitons: an introduction" expands on this. I realize this has no real bearing on the question on hand. | |
| Feb 8, 2010 at 15:33 | answer | added | Charles Siegel | timeline score: 12 | |
| Feb 8, 2010 at 12:07 | history | asked | kakaz | CC BY-SA 2.5 |