Corrigendum to “Multi-soliton solutions and data-driven discovery of higher-order Burgers’ hierarchy equations with physics-informed neural networks” [Chaos, Solitons & Fractals 194 (2025) 116224]

D. A. Kaltsas, L. Magafas, P. Papadopoulou, George N. Throumoulopoulos · Chaos Solitons & Fractals · 2025

This corrigendum addresses errors in the proof of the conserved quantity C presented in Eq. (17) of the original paper D.A. Kaltsas et al. (2025). 1 1 DOI of original article: https://doi.org/10.1016/j.chaos.2025.116224 Specifically, we correct (1) a technical issue stemming from the inadvertent retention of an exploratory term γ t , introduced during preliminary calculations, which led to a misinterpretation and an inconsistent proof, and (2) a typographical error concerning the order of partial derivatives with respect to x . These corrections do not alter the main results of the paper, which focused on the case β t = 0 , but they provide a more rigorous and consistent analysis.

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