Search results for "quasi-rational solutions"

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Solutions of the LPD equation and multi-parametric rogue waves

2022

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.

47.35.Fg47.10A-47.54.Bdquasi-rational solutions PACS numbers : 33Q5537K10[MATH.MATH-MP] Mathematics [math]/Mathematical Physics [math-ph]Lakshmanan Porsezian Daniel equation
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Quasi-rational solutions of the Hirota equation depending on multi-parameters and rogue waves

2023

Quasi-rational solutions to the Hirota equation are given. We construct explicit expressions of these solutions for the first orders. As a byproduct, we get quasi-rational solutions to the focusing NLS equation and also rational solutions to the mKdV equation. We study the patterns of these configurations in the (x, t) plane.

Hirota equationquasi-rational solutions[MATH] Mathematics [math]
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