Research Article
The equation of order 6 of the NLS hierarchy
- By Pierre Gaillard - 07 Nov 2025
- Computational Methods, Volume: 2, Issue: 2, Pages: 1 - 6
- https://doi.org/10.58614/cm221
- Received: 01.10.2025; Accepted: 25.10.2025; Published: 07.11.2025
Abstract
The equation of order 6 of the NLS hierarchy is considered and particular solutions are given. Explicit expressions of these solutions are constructed for the first orders depending on multi-parameters. We study patterns of these solutions in the (x, t) plane according the different values of the parameters. So series of rogue waves are highlighted.