Multiparametric Rational Solutions of Order N to the KPI Equation and the Explicit Case of Order 3 - Archive ouverte HAL
Article Dans Une Revue Archives of Current Research International Année : 2021

Multiparametric Rational Solutions of Order N to the KPI Equation 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.

Dates et versions

hal-03537345 , version 1 (20-01-2022)

Identifiants

Citer

Pierre Gaillard. Multiparametric Rational Solutions of Order N to the KPI Equation and the Explicit Case of Order 3. Archives of Current Research International, 2021, pp.58-71. ⟨10.9734/acri/2021/v21i630253⟩. ⟨hal-03537345⟩
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