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Research Article Open access CC BY 4.0

Rogue Waves of the Lakshmanan Porsezian Daniel Equation Depending on Multi-parameters

Pierre Gaillard

Asian Journal of Advanced Research and Reports · pp. 32–40 · Published 2 Apr 2022

10.9734/ajarr/2022/v16i330463

Abstract

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.

Lakshmanan Porsezian Daniel equation quasi-rational solutions

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