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JOURNALS // Teoreticheskaya i Matematicheskaya Fizika // Archive
TMF, 2025 Volume 223, Number 1, Pages 56–61 (Mi tmf10846)
On alleged solutions of the cubically nonlinear Schrödinger equation

H. W. Schürmanna, V. S. Serovb

a Department of Mathematics, Computer Science, Physics, University of Osnabrück, Germany
b Research Unit of Mathematical Sciences, University of Oulu, Finland

Abstract: On the basis of analytic results, we present a numerical example that indicates the inconsistency of a widely used ansatz for the cubically nonlinear Schrödinger equation.

Keywords: nonlinear Schrödinger equation, Weierstrass elliptic function, Weierstrass formula.

Received: 20.10.2024
Revised: 28.01.2025

DOI: 10.4213/tmf10846


 English version: Theoretical and Mathematical Physics, 2025, 223:1, 572–575

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© Steklov Math. Inst. of RAS, 2026