Rational solutions of order N to the KPI equation with multi-parameters and the explicit case of order 3
Résumé
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.
Domaines
Physique mathématique [math-ph]Origine | Fichiers produits par l'(les) auteur(s) |
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