Rational solutions to the KPI equation from particular polynomials - Archive ouverte HAL
Article Dans Une Revue Wave Motion Année : 2022

Rational solutions to the KPI equation from particular polynomials

Résumé

We construct solutions to the Kadomtsev-Petviashvili equation (KPI) from particular polynomials. We obtain rational solutions written as a second spatial derivative of a logarithm of a determinant of order n. We obtain with this method an infinite hierarchy of rational solutions to the KPI equation. We give explicitly the expressions of these solutions for the first five orders.
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Dates et versions

hal-03537353 , version 1 (20-01-2022)

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Pierre Gaillard. Rational solutions to the KPI equation from particular polynomials. Wave Motion, 2022, 108, pp.102828. ⟨10.1016/j.wavemoti.2021.102828⟩. ⟨hal-03537353⟩
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