6533b86cfe1ef96bd12c872a
RESEARCH PRODUCT
Particular polynomials generating rational solutions to the KdV equation
Pierre Gaillardsubject
[MATH.MATH-MP] Mathematics [math]/Mathematical Physics [math-ph]description
We construct here rational solutions to the KdV equation by means of particular polynomials. We get solutions in terms of determinants of order n for any positive integer n and we call these solutions, solutions of order n. So we obtain a very efficient method to get rational solutions to the KdV equation and we can construct very easily explicit solutions. In the following, we present some solutions until order 10.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2022-01-01 |