3 papers
nlin.SI2025
Comment on "Rogue waves on the double-periodic background in the focusing nonlinear Schrödinger equation"
Hans Werner Schuermann, Valery Serov
Some years ago, Chen, Pelinovsky, and White claimed existence of certain solutions of the nonlinear Schrödinger equation for modelling rogue waves [arXiv: 1909.08165v1 (2019)]. It…
math-ph2025
On alleged solutions of the cubically nonlinear Schrödinger equation
Hans Werner Schuermann, Valery Serov
On the basis of analytical results, we present a numerical example that indicates inconsistency of a widely used ansatz with cubically nonlinear Schrödinger equation.
math-ph2022
Comment on "Doubly periodic solutions of the focusing nonlinear Schrödinger equation: Recurrence, period doubling, and amplification outside the conventional modulation-instability band"
Hans Werner Schuermann, Valery Serov
In their interesting article (Physical Review A, Vol. 101, 023843 (2020)) Conforti et al. present doubly periodic (elliptic) solutions of the nonlinear Schrödinger equation, based…