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Pré-Publication, Document De Travail Année : 2022

Solutions of the LPD equation and multi-parametric rogue waves

Résumé

Quasi-rational solutions to the Lakshmanan Porsezian Daniel equation are presented. We construct explicit expressions of these solutions for the first orders depending on real parameters. We study the patterns of these configurations in the (x, t) plane in function of the different parameters. We observe in the case of order 2, three rogue waves which move according to the two parameters. In the case of order 3, six rogue waves are observed with specific configurations moving according to the four parameters.
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hal-03755079 , version 1 (21-08-2022)

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  • HAL Id : hal-03755079 , version 1

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Pierre Gaillard. Solutions of the LPD equation and multi-parametric rogue waves. 2022. ⟨hal-03755079⟩
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