Timeline for What is an "integrable hierarchy"? (to a mathematician)
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5 events
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| Sep 9, 2018 at 15:22 | comment | added | mathphysicist | In addition to the MJD book mentioned by John, it could be a good idea to look at Alan Newell's book Solitons in mathematics and physics ( epubs.siam.org/doi/book/10.1137/1.9781611970227 ) which deals with the integrable hierarchies quite a bit. | |
| Mar 24, 2018 at 5:11 | comment | added | Hans | +1. Will you please explain why this is a "hiearchy" and exhibit other hierarchies and describe the Lax pair as you said you would like to do? Thanks. | |
| Nov 11, 2017 at 20:53 | comment | added | john mangual | at the danger of lumping all physicists into the same bucket, here's string theory paper linking topological string theory to integrable hierarchies. [1] | |
| Nov 11, 2017 at 20:51 | comment | added | john mangual | when I have a moment, I'd like to explain why this is a "hierarchy" and exhibit other herarchies than KdV (such as Benjamin Ono). However, I think the link to Huygens' principle (which becomes the action principle) offers a variational way to look at this eq. Also... I have not mentioned the Lax pairs, which is what people really think of with integrable systems. | |
| Nov 11, 2017 at 17:58 | history | answered | john mangual | CC BY-SA 3.0 |