| Title:
|
Periodic traveling waves in the system of linearly coupled nonlinear oscillators on 2D-lattice (English) |
| Author:
|
Bak, Sergiy |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
58 |
| Issue:
|
1 |
| Year:
|
2022 |
| Pages:
|
1-13 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper we obtain results on existence of non-constant periodic traveling waves with arbitrary speed $c>0$ in infinite system of linearly coupled nonlinear oscillators on a two-dimensional lattice. Sufficient conditions for the existence of such solutions are obtained with the aid of critical point method and linking theorem. (English) |
| Keyword:
|
nonlinear oscillators |
| Keyword:
|
2D-lattice |
| Keyword:
|
traveling waves |
| Keyword:
|
critical points |
| Keyword:
|
linking theorem |
| MSC:
|
34C15 |
| MSC:
|
37K58 |
| MSC:
|
37K60 |
| MSC:
|
74J30 |
| idZBL:
|
Zbl 07511504 |
| idMR:
|
MR4412963 |
| DOI:
|
10.5817/AM2022-1-1 |
| . |
| Date available:
|
2022-02-23T12:07:04Z |
| Last updated:
|
2022-06-23 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/149442 |
| . |
| Reference:
|
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