6533b852fe1ef96bd12abdfc
RESEARCH PRODUCT
Rational solutions to the KdV equation depending on multi-parameters
Pierre Gaillardsubject
KdV equation47.35.Fg47.10A-rational solutions PACS numbers : 33Q55[MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph]47.54.Bd[MATH.MATH-MP] Mathematics [math]/Mathematical Physics [math-ph]37K10description
We construct multi-parametric rational solutions to the KdV equation. For this, we use solutions in terms of exponentials depending on several parameters and take a limit when one of these parameters goes to 0. Here we present degenerate rational solutions and give a result without the presence of a limit as a quotient of polynomials depending on 3N parameters. We give the explicit expressions of some of these rational solutions.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2021-12-11 |