Deformations of the seventh order Peregrine breather solutions of the NLS equation with twelve parameters.
type: Dataset
description: We study the solutions of the one dimensional focusing NLS equation. Here we construct new deformations of the Peregrine breather of order 7 with 12 real parameters. We obtain new families of quasi-rational solutions of the NLS equation. With this method, we construct new patterns of different types of rogue waves. We recover triangular configurations as well as rings isolated. As already seen in the previous studies, one sees appearing for certain values of the parameters, new configurations of concentric rings.
issued: 2026-05-09T11:31:27.198026
language: en
modified: 2026-05-09T11:31:27.198030
contact point: Organization
  fn: CCSD
keyword: akhmedievs-solutions
keyword: infoeu-reposemanticspreprint
keyword: mathmath-mpmathematics-mathmathematical-physics-math-ph
keyword: nls-equation
keyword: peregrine-breathers
keyword: preprints-working-papers-
landing page: https://hal.science/hal-00870156

Deformations of the seventh order Peregrine breather solutions of the NLS equation with twelve parameters.
type: Distribution
format: HTML
issued: 2026-05-09T11:31:27.201751
modified: 2026-05-09T11:31:27.190300
access URL: https://hal.science/hal-00870156

test_moissonnage_selune
type: Agent