Correction to: *Communications Physics* https://doi.org/10.1038/s42005-022-00907-1, published online 01 June 2022.

It has come to the authors’ attention that equation [22] and [23] on page 6 of the published manuscript contained some notation mistakes.

The original equation [22] was written as

And has now been changed to

The original equation [23] was written as

and has now been corrected to

As a result of these changes the text has been modified as follow: (i) the second sentence of the paragraph below equation [22] has been changed from

“The instability threshold is reached when the curly brackets become zero, while the generation of the ±ν sideband pair is stable if the pump frequency is tuned to provide δ_{0b} such that \({\delta }_{va}^{2} \; \leqslant \; {\delta }_{\mu a}^{2}.\)”to

“The instability threshold is reached when λ_{ν,μ} becomes zero, while the generation of the ±ν sideband pair is stable if the pump frequency is tuned to provide δ_{0b} such that \({\delta }_{va}^{2} \; \leqslant \; {\delta }_{\mu a}^{2}+\frac{1}{4}{\kappa }_{a}^{2}\)”.

(ii) the following text has been added immediately following equation [23] where \({\varepsilon}_{\!\pm}={\varepsilon }_{0}+{\kappa }_{a}^{2}/2{D}_{2a}(1\pm 2v).\)

In addition to the above, some omissions to the authorship of bibliographic references [13], [14], [15], were corrected. These references have been published with just the first author name appearing and were not reported in standard *Nature* referencing style as

13. Billat, A. et al. Large second harmonic generation enhancement in Si_{3}N_{4} waveguides by all-optically induced quasi-phase-matching. *Nat. Commun.* **8**, 1016 (2017).

14. Hickstein, D.D. et al. Self-organized nonlinear gratings for ultrafast nanophotonics. *Nat. Photonics* **13**, 494–499 (2019).

15. Lu, X. et al. Efficient photoinduced second-harmonic generation in silicon nitride photonics. *Nat. Photonics* **15**, 131–136 (2021).

Both the HTML and PDF version of the article have been corrected.

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Puzyrev, D.N., Skryabin, D.V. Author Correction: Ladder of Eckhaus instabilities and parametric conversion in chi(2) microresonators.
*Commun Phys* **5**, 258 (2022). https://doi.org/10.1038/s42005-022-01033-8

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DOI: https://doi.org/10.1038/s42005-022-01033-8

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