On hyperbolic and rational solutions of the cubically nonlinear Schr\"odinger equation
Mathematical Physics
2026-04-21 v2 math.MP
Abstract
In a previous article we have proved non-existence of certain "solutions" of the cubically nonlinear Schr\"odinger equation in the general case, and presented solutions in the non-generic case. -- In the present article we describe a further family of solutions enlarging the set of non-generic solutions.
Cite
@article{arxiv.2604.13838,
title = {On hyperbolic and rational solutions of the cubically nonlinear Schr\"odinger equation},
author = {Hans Werner Schürmann and Valery Serov},
journal= {arXiv preprint arXiv:2604.13838},
year = {2026}
}