| Autor: |
Pierre Gaillard |
| Jazyk: |
angličtina |
| Rok vydání: |
2024 |
| Předmět: |
|
| Zdroj: |
Journal of Mathematical Sciences and Modelling, Vol 7, Iss 2, Pp 75-81 (2024) |
| Druh dokumentu: |
article |
| ISSN: |
2636-8692 |
| DOI: |
10.33187/jmsm.1426590 |
| Popis: |
$N$-order solutions to the Gardner equation (G) are given in terms of Wronskians of order $N$ depending on $2N$ real parameters. We get solutions expressed with trigonometric or hyperbolic functions. When one of the parameters goes to $0$, we succeed to get for each positive integer $N$, rational solutions as a quotient of polynomials in $x$ and $t$ depending on $2N$ real parameters. We construct explicit expressions of these rational solutions for the first orders. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
|
