| Title:
|
A look on some results about Camassa–Holm type equations (English) |
| Author:
|
Freire, Igor Leite |
| Language:
|
English |
| Journal:
|
Communications in Mathematics |
| ISSN:
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1804-1388 (print) |
| ISSN:
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2336-1298 (online) |
| Volume:
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29 |
| Issue:
|
1 |
| Year:
|
2021 |
| Pages:
|
115-130 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We present an overview of some contributions of the author regarding Camassa--Holm type equations. We show that an equation unifying both Camassa--Holm and Novikov equations can be derived using the invariance under certain suitable scaling, conservation of the Sobolev norm and existence of peakon solutions. Qualitative analysis of the two-peakon dynamics is given. (English) |
| Keyword:
|
Invariance |
| Keyword:
|
Sobolev norm |
| Keyword:
|
peakon solutions |
| Keyword:
|
Camassa--Holm equation |
| Keyword:
|
Novikov equation |
| MSC:
|
35Q51 |
| MSC:
|
37K40 |
| idZBL:
|
Zbl 07413360 |
| idMR:
|
MR4251309 |
| . |
| Date available:
|
2021-07-09T12:37:28Z |
| Last updated:
|
2021-11-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/148994 |
| . |
| Reference:
|
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