Multiparametric Rational Solutions of Order N to the KPI Equation and the Explicit Case of Order 3

Gaillard, P. (2021) Multiparametric Rational Solutions of Order N to the KPI Equation and the Explicit Case of Order 3. Archives of Current Research International, 21 (6). pp. 58-71. ISSN 2454-7077

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Abstract

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.

Item Type: Article
Subjects: Science Repository > Multidisciplinary
Depositing User: Managing Editor
Date Deposited: 03 Mar 2023 05:37
Last Modified: 03 Jan 2024 06:24
URI: http://research.manuscritpub.com/id/eprint/204

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