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Pré-Publication, Document De Travail Année : 2023

Another rational solutions to the Burgers' equation

Résumé

From particular polynomials, we construct rational solutions to the Burgers' equation as a quotient of a polynomial of degree n − 1 in x and n − 1 − n 2 in t, by a polynomial of degree n in x and n 2 in t, [n] being the greater integer less or equal to n. We call these solutions, solutions of order n. We construct explicitly these solutions for orders 1 until 20.
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Dates et versions

hal-04292680 , version 1 (17-11-2023)

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  • HAL Id : hal-04292680 , version 1

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Pierre Gaillard. Another rational solutions to the Burgers' equation. 2023. ⟨hal-04292680⟩
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