Multi-parametric Rational Solutions to the KdV Equation

Gaillard, Pierre (2021) Multi-parametric Rational Solutions to the KdV Equation. Asian Journal of Research and Reviews in Physics, 4 (3). pp. 14-21. ISSN 2582-5992

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Abstract

We construct multi-parametric rational solutions to the KdV equation. For this, we use solutions in terms of exponentials depending on several parameters and take a limit when one of these parameters goes to 0. Here we present degenerate rational solutions and give a result without the presence of a limit as a quotient of polynomials depending on 3N parameters. We give the explicit expressions of some of these rational solutions.

Item Type: Article
Uncontrolled Keywords: KdV equation rational solutions
Subjects: STM Repository > Physics and Astronomy
Depositing User: Managing Editor
Date Deposited: 22 Feb 2023 06:16
Last Modified: 01 Jan 2024 12:47
URI: http://classical.goforpromo.com/id/eprint/145

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