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Pré-Publication, Document De Travail Année : 2020

Families of solutions to the CKP equation with multi-parameters

Résumé

We construct solutions to the CKP (cylindrical Kadomtsev-Petviashvili)) equation in terms of Fredholm determinants. We deduce solutions written as a quotient of wronskians of order 2N. These solutions are called solutions of order N ; they depend on 2N − 1 parameters. They can be written as a quotient of 2 polynomials of degree 2N (N + 1) in x, t and 4N (N + 1) in y depending on 2N − 2 parameters. We explicitly construct the expressions up to order 5 and we study the patterns of their modulus in plane (x, y) and their evolution according to time and parameters.
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Dates et versions

hal-02427660 , version 1 (03-01-2020)

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  • HAL Id : hal-02427660 , version 1

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Pierre Gaillard. Families of solutions to the CKP equation with multi-parameters. 2020. ⟨hal-02427660⟩
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