| | |
| | |
Stat |
Members: 3643 Articles: 2'488'730 Articles rated: 2609
29 March 2024 |
|
| | | |
|
Article overview
| |
|
On the Treves theorem for the AKNS equation | Carlo Morosi
; Livio Pizzocchero
; | Date: |
9 Jul 2004 | Journal: | J.Math.Phys. 45(12), 4737-4753 (2004) | Subject: | Exactly Solvable and Integrable Systems; Mathematical Physics | nlin.SI math-ph math.MP | Affiliation: | Politecnico di Milano), Livio Pizzocchero (Univ. di Milano | Abstract: | According to a theorem of Treves, the conserved functionals of the AKNS equation vanish on all pairs of formal Laurent series of a specified form, both of them with a pole of the first order. We propose a new and very simple proof for this statement, based on the theory of Bäcklund transformations; using the same method, we prove that the AKNS conserved functionals vanish on other pairs of Laurent series. The spirit is the same of our previous paper on the Treves theorem for the KdV, with some non trivial technical differences. | Source: | arXiv, nlin.SI/0407025 | Services: | Forum | Review | PDF | Favorites |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
browser claudebot
|
| |
|
|
|
| News, job offers and information for researchers and scientists:
| |