6533b82afe1ef96bd128bdff
RESEARCH PRODUCT
From particular polynomials to rational solutions to the KPI equation
Pierre Gaillardsubject
47.35.Fgnumbers : 33Q5547.10A-47.54.Bd37K10[MATH.MATH-MP] Mathematics [math]/Mathematical Physics [math-ph]description
We construct solutions to the Kadomtsev-Petviashvili equation (KPI) from particular polynomials. We obtain rational solutions written as a second derivative with respect to the variable x of a logarithm of a determinant of order n. So we get with this method an infinite hierarchy of rational solutions to the KPI equation. We give explicitly the expressions of these solutions for the first five orders.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2022-01-01 |