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Article Dans Une Revue Asian Journal of Research and Reviews in Physics Année : 2021

Multi-parametric Rational Solutions to the KdV Equation

Résumé

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.

Dates et versions

hal-03537302 , version 1 (20-01-2022)

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Citer

Pierre Gaillard. Multi-parametric Rational Solutions to the KdV Equation. Asian Journal of Research and Reviews in Physics, 2021, pp.14-21. ⟨10.9734/ajr2p/2021/v4i330143⟩. ⟨hal-03537302⟩
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