Interaction Solutions for the Fractional KdVSKR Equations in (1+1)-Dimension and (2+1)-Dimension

Round 1

Reviewer 1 Report

Comments and Suggestions for Authors

The manuscript presents interesting results regarding the solution of Frational-order-base partial differential equations. Tha manuscript is well written and organized. After addressing the following issues, the manuscript deserves to be published.

1) Although the manuscript claims novelty in its approach, it is essential to ensure that the work does not overlap significantly with existing studies. A more detailed comparison with previous research could help highlight the unique contributions of this paper. Therefore, the authors should adequately cite previously reported methods and also compare the solutions presented in this manuscript to the solutions using previously reported methods.

2) In Eq (1), (2), (3) and others, all depedent variables 'u' have a subscript according to the derivative. However, the squared 'u' term multiplying the number 45 does not have. Why is that? Also the 'u' multiplying the number 15. Why is that?

3) The size of labels in the figures should me increased for proper reading.

Author Response

We are very grateful to the reviewer for his valuable suggestions. These suggestions are very helpful to improve the quality of the paper. The following is our point-by-point response.

Author Response File: Author Response.pdf

Reviewer 2 Report

Comments and Suggestions for Authors

Paper Title: “Interaction Solutions for the Fractional KdVSKR Equations in (1+1)-Dimension and (2+1)-Dimension”
Journal Name: Fractal Fract
Article No.: fractalfract-3160860
Author(s):  Lihua Zhang, Zitong Zheng, Bo Shen, Gangwei Wang, Zhenli Wang

Recommendation: Accept ( ) Revision (√) Reject ( )

Comments for Authors:
In this manuscript, the authors studied the fractional KdVSKR equations with modified Riemann-Liouville derivative applying the Hirota bilinear method, finite symmetry group method and consistent Riccati expansion method. So far I concerned, the result of this paper is stimulating. Hence, I think this manuscript can be accepted if the following comments are modified carefully:
(1) The authors should reduce the number of keywords from the Keywords section.
(2) The physical derivation for the models are not very clear. The authors should add the relative interpretation on these fractional models.
(3) The authors should be improved the Introduction section of this paper citing some current references.  
(4) In equations (1) and (2), only the first item has been fractionalize, however all the rest items are in integer order. The authors should provide some explanations.
(5) How does the fractional affect the dynamical behaviors of the obtained solutions, the authors should explain in detail.
(6) What is the original contribution of the authors? The authors should provide the explanation.
(7) Throughout the manuscript there are many abbreviations, I think the authors should add a list of abbreviations at the beginning of the article.
(8) The authors should reduce the similarity of their manuscript and it must be reduced under 20%.

From my observation, I think that the editor will accept this paper if the authors may responsible to revise their paper according to the aforementioned suggestions and comments.

Author Response

We are very grateful to the reviewer for his valuable suggestions. These suggestions are very helpful to improve the quality of the paper. The following is our point-by-point response.

Author Response File: Author Response.docx

Round 2

Reviewer 1 Report

Comments and Suggestions for Authors

The revised version of the manuscript can be accepted.