6533b7d2fe1ef96bd125e798
RESEARCH PRODUCT
Multi-parameters rational solutions to the mKdV equation
Pierre Gaillardsubject
47.35.FgNonlinear Sciences::Exactly Solvable and Integrable Systemswronskians47.10A-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]37K10mKdV equationdescription
N-order solutions to the modified Korteweg-de Vries (mKdV) equation are given in terms of a quotient of two wronskians of order N depending on 2N real parameters. When one of these 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 orders N = 1 until N = 6.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2021-06-05 |