Korteweg–De Vries–Burger Equation with Jeffreys’ Wind–Wave Interaction: Blow-Up and Breaking of Soliton-like Solutions in Finite Time
Round 1
Reviewer 1 Report
This manuscript analyses the nonlinear surface water solitary waves under the action of the famous Jeffreys wind-wave growth mechanisms. A generalised KdV-B equation was derived describing the wind-wave evolution. Several wave-breaking criteria have been applied for the detailed analysis. The manuscript is overall well-written, and the content reads interesting. I have some comments before recommending this manuscript for publication.
1. In the introduction, the authors discussed the wind-wave growth theories of Phillips and Miles. I would recommend some recent papers related to this topic:
· Li, T., & Shen, L. (2022). The principal stage in wind-wave generation. Journal of Fluid Mechanics, 934, A41.
· Bonfils, A. F., Mitra, D., Moon, W., & Wettlaufer, J. S. (2022). Asymptotic interpretation of the Miles mechanism of wind-wave instability. Journal of Fluid Mechanics, 944, A8.
· Kadam, Y., Patibandla, R., & Roy, A. (2023). Wind-generated waves on a water layer of finite depth. Journal of Fluid Mechanics, 967, A12.
2. I am slightly confused about the derivations between Eq (8) and Eq (11). How is Eq. (9) equivalent to Eq. (8)? Also, in Eq. (10), we have u_{0,x}=\eta. But in Eq. (11), u_0 is written as \eta plus higher order terms. It looks that Eq. (10) and Eq. (11) are not compatible.
3. I kindly suggest that the authors re-examine the equations and ensure no typos.
I am satisfied with the quality of the English language.
Author Response
We would like sincerely to thank the reviewer for the very accurate suggestions. We have considered them all and made the necessary corrections. Please see the attached file.
Author Response File: 
Author Response.pdf
Reviewer 2 Report
Overall, the presentation of the article looks very good and English grammar is also good. The manuscript is potentially publishable, but it requires some minor revisions, please see the points below to be addressed:
1. In line 35, the word “du” should be corrected as “due”.
2. In line 50, the word “soiton” should be corrected as “soliton”.
3. In Eq.(1a), check the sentence
u is function of x and t instead of x, z, and t and Pa
4. The introduction section is weak in the sense of the soliton theory. This portion needs to be more comprehensive. The authors are requested to mention the following latest articles to enhance the introduction section related to soliton and cite them properly:
https://doi.org/10.3390/sym14040739
https://doi.org/10.3390/sym12111850
https://doi.org/10.1016/j.rinp.2023.106576
https://doi.org/10.1016/j.rinp.2023.106671
The spell should be checked throughout the article.
Author Response
We would like sincerely to thank the reviewer for the very accurate suggestions. We have considered them all and made the necessary corrections. Please see the attached file.
Author Response File: Author Response.pdf
Reviewer 3 Report
Dear Authors,
The report is attached to this submission.
Best wishes
Comments for author File: Comments.pdf
Minor editing of English language is required
Author Response
We would like sincerely to thank the reviewer for the very accurate suggestions. We have considered them all and made the necessary corrections. Please see the attached file.
Author Response File: Author Response.pdf
