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Preprints, Working Papers, ... Year : 2021

Rational solutions to the KdV equation depending on multi-parameters

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.
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Dates and versions

hal-03475728 , version 1 (11-12-2021)

Identifiers

  • HAL Id : hal-03475728 , version 1

Cite

Pierre Gaillard. Rational solutions to the KdV equation depending on multi-parameters. 2021. ⟨hal-03475728⟩
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