| | |
| | |
Stat |
Members: 3643 Articles: 2'488'730 Articles rated: 2609
29 March 2024 |
|
| | | |
|
Article overview
| |
|
About linear superpositions of special exact solutions of Veselov-Novikov equation | V.G. Dubrovsky
; A.V. Topovsky
; | Date: |
7 Oct 2011 | Abstract: | New exact solutions, nonstationary and stationary, of Veselov-Novikov (VN)
equation in the forms of linear superpositions of arbitrary number of exact
special solutions $u^{(n)}$, $n=1,...,N$ are constructed via
$arpartial$-dressing method in such a way that the sums $u= u^{(k_1)}+...+
u^{(k_m)}$, $1leqslant k_1<k_2<...<k_mleqslant N$ of arbitrary subsets of
these solutions are also exact solutions of VN equation. The presented linear
superpositions include as superpositions of special line solitons with zero
asymptotic values at infinity and also superpositions of special plane wave
type singular periodic solutions. By construction these exact solutions
represent also new exact transparent potentials of 2D stationary
Schr"{o}dinger equation and can serve as model potentials for electrons in
planar structures of modern electronics. | Source: | arXiv, 1110.1626 | 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:
| |