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Degeneration of breathers in the Kadomttsev-Petviashvili I equation - MaRDI portal

Degeneration of breathers in the Kadomttsev-Petviashvili I equation (Q2207755)

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Degeneration of breathers in the Kadomttsev-Petviashvili I equation
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    Degeneration of breathers in the Kadomttsev-Petviashvili I equation (English)
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    23 October 2020
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    The paper reports exact solutions for higher-order breathers of the Kadomttsev-Petviashvili I equation. The solutions are produced by means of the Hirota bilinear method and the complexication method. A relation between such solutions and famous lump solitons produced by this equation is analyzed. Also constructed are hybrid states coimposed of solitons, breathers, and lumps.
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    Hirota bilinear methods
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    complexication method
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    higher-order breather solutions
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