Solutions of the LPD equation and multi-parametric rogue waves - Archive ouverte HAL Access content directly
Preprints, Working Papers, ... Year : 2022

Solutions of the LPD equation and multi-parametric rogue waves

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.
Fichier principal
Vignette du fichier
hal LPD V3.pdf (1.37 Mo) Télécharger le fichier
Origin : Files produced by the author(s)

Dates and versions

hal-03755079 , version 1 (21-08-2022)

Identifiers

  • HAL Id : hal-03755079 , version 1

Cite

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

Share

Gmail Facebook X LinkedIn More