Particular polynomials generating rational solutions to the KdV equation - Archive ouverte HAL
Pré-Publication, Document De Travail (Preprint/Prepublication) Année : 2022

Particular polynomials generating rational solutions to the KdV equation

Résumé

We construct here rational solutions to the KdV equation by means of particular polynomials. We get solutions in terms of determinants of order n for any positive integer n and we call these solutions, solutions of order n. So we obtain a very efficient method to get rational solutions to the KdV equation and we can construct very easily explicit solutions. In the following, we present some solutions until order 10.
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Dates et versions

hal-03849461 , version 1 (11-11-2022)

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  • HAL Id : hal-03849461 , version 1

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Pierre Gaillard. Particular polynomials generating rational solutions to the KdV equation. 2022. ⟨hal-03849461⟩
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