3 papers
math-ph2026
On hyperbolic and rational solutions of the cubically nonlinear Schrödinger equation
Hans Werner Schürmann, Valery Serov
In a previous article we have proved non-existence of certain "solutions" of the cubically nonlinear Schrödinger equation in the general case, and presented solutions in the non-g…
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.