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Preprints, Working Papers, ... Year : 2022

From particular polynomials to rational solutions to the mKdV equation

Abstract

Rational solutions to the modified Korteweg-de Vries (mKdV) equation are given in terms of a quotient of determinants involving certain particular polynomials. This gives a very efficient method to construct solutions. We construct very easily explicit expressions of these rational solutions for the first orders n = 1 until 10.
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Dates and versions

hal-03649898 , version 1 (23-04-2022)

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  • HAL Id : hal-03649898 , version 1

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Pierre Gaillard. From particular polynomials to rational solutions to the mKdV equation. 2022. ⟨hal-03649898⟩
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