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Rational solutions of order N to the KPI equation with multi-parameters and the explicit case of order 3

Abstract : We present multiparametric rational solutions to the Kadomtsev-Petviashvili equation (KPI). These solutions of order N depend on 2N − 2 real parameters. Explicit expressions of the solutions at order 3 are given. They can be expressed as a quotient of a polynomial of degree 2N (N + 1) − 2 in x, y and t by a polynomial of degree 2N (N + 1) in x, y and t, depending on 2N − 2 real parameters. We study the patterns of their modulus in the (x,y) plane for different values of time t and parameters.
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Preprints, Working Papers, ...
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https://hal.archives-ouvertes.fr/hal-03688578
Contributor : Pierre Gaillard Connect in order to contact the contributor
Submitted on : Sunday, June 5, 2022 - 10:10:04 AM
Last modification on : Thursday, June 9, 2022 - 3:37:05 AM

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  • HAL Id : hal-03688578, version 1

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P Gaillard. Rational solutions of order N to the KPI equation with multi-parameters and the explicit case of order 3. 2022. ⟨hal-03688578⟩

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