6533b861fe1ef96bd12c5451
RESEARCH PRODUCT
Rational solutions of order N to the KPI equation with multi-parameters and the explicit case of order 3
P Gaillardsubject
47.35.Fgnumbers : 33Q5547.10A-47.54.Bd37K10[MATH.MATH-MP] Mathematics [math]/Mathematical Physics [math-ph]description
We present multiparametric rational solutions to the Kadomtsev-Petviashvili equation (KPI). These solutions of order N depend on 2N − 2 real parameters. Explicit expressions of the solutions at order 3 are given. They can be expressed as a quotient of a polynomial of degree 2N (N + 1) − 2 in x, y and t by a polynomial of degree 2N (N + 1) in x, y and t, depending on 2N − 2 real parameters. We study the patterns of their modulus in the (x,y) plane for different values of time t and parameters.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2022-01-01 |