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RESEARCH PRODUCT
Multiparametric Rational Solutions of Order N to the KPI Equation and the Explicit Case of Order 3
P. Gaillardsubject
symbols.namesakesymbolsOrder (group theory)Applied mathematicsRiemann–Hilbert problemGeneral MedicineKadomtsev–Petviashvili equationMathematicsdescription
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 |
|---|---|---|---|---|
| 2021-11-23 | Archives of Current Research International |