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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]

Author

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  • Kaltsas, D.A.
  • Magafas, L.
  • Papadopoulou, P.
  • Throumoulopoulos, G.N.

Abstract

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).11DOI 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 γt, 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 βt=0, but they provide a more rigorous and consistent analysis.

Suggested Citation

  • Kaltsas, D.A. & Magafas, L. & Papadopoulou, P. & Throumoulopoulos, G.N., 2025. "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]," Chaos, Solitons & Fractals, Elsevier, vol. 196(C).
    • Handle: RePEc:eee:chsofr:v:196:y:2025:i:c:s0960077925004734
    DOI: 10.1016/j.chaos.2025.116460
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