PONE-D-23-40797Investigating wave solutions and impact of nonlinearity: Comprehensive study of the KP-BBM model with bifurcation analysisPLOS ONE

Dear Dr. Islam S. M. Rayhanul,

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PLOS ONE

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Additional Editor Comments (if provided):

One reviewer has major points that should be addressed in detail please.

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Reviewers' comments:

Reviewer's Responses to Questions

Comments to the Author

1. Is the manuscript technically sound, and do the data support the conclusions?

The manuscript must describe a technically sound piece of scientific research with data that supports the conclusions. Experiments must have been conducted rigorously, with appropriate controls, replication, and sample sizes. The conclusions must be drawn appropriately based on the data presented.

Reviewer #1: Yes

Reviewer #2: Yes

Reviewer #3: Yes

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2. Has the statistical analysis been performed appropriately and rigorously?

Reviewer #1: Yes

Reviewer #2: Yes

Reviewer #3: Yes

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3. Have the authors made all data underlying the findings in their manuscript fully available?

The PLOS Data policy requires authors to make all data underlying the findings described in their manuscript fully available without restriction, with rare exception (please refer to the Data Availability Statement in the manuscript PDF file). The data should be provided as part of the manuscript or its supporting information, or deposited to a public repository. For example, in addition to summary statistics, the data points behind means, medians and variance measures should be available. If there are restrictions on publicly sharing data—e.g. participant privacy or use of data from a third party—those must be specified.

Reviewer #1: Yes

Reviewer #2: Yes

Reviewer #3: Yes

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4. Is the manuscript presented in an intelligible fashion and written in standard English?

PLOS ONE does not copyedit accepted manuscripts, so the language in submitted articles must be clear, correct, and unambiguous. Any typographical or grammatical errors should be corrected at revision, so please note any specific errors here.

Reviewer #1: Yes

Reviewer #2: Yes

Reviewer #3: Yes

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5. Review Comments to the Author

Please use the space provided to explain your answers to the questions above. You may also include additional comments for the author, including concerns about dual publication, research ethics, or publication ethics. (Please upload your review as an attachment if it exceeds 20,000 characters)

Reviewer #1: In this article, authors have explored the (2+1)-dimensional Kadomtsev-Petviashvili-Benjamin-Bona Mahony equation using two effective methods via unified and advanced auxiliary equation schemes to derive precise wave solutions. The obtained numerical results are reliable, straightforward, and potent tools for analyzing various nonlinear evolution equations. The article is interesting and is on average level. However, I suggest some necessary corrections in attachment.

Reviewer #2: Investigating Wave Solutions and Impact of Nonlinearity: comprehensive Study of the KP-BBM Model with Bifurcation Analysis

Summary and the overall:

Well written introduction, mathematical background, literature review, objectives, mathematical analysis, results and conclusion. The presentation of the concepts of the article was smooth and sequential.

Major comments:

1-Aim: The aim of the study is clearly states. The study focused on applying the unified and Advanced Auxiliary Equation (AAE) methods to find soliton solutions of the KP-BBM model . The study provided an analysis of the impact of some parameters and ended with a stability analysis on the model.

2- Method: The innovation in this study was to provide solutions to the KP-BBM model using methods that have not been utilized in literature, namely the unified and the AAE methods using Maple software.

4- Discussion and Applications:

The discussion was well written and organized. The study presents good computation work. The paper revealed 32 solutions to the KP-BBM model using the unified method and 46 solutions using the AAE method. The problem, however, is that none of the solutions presented by the paper was obtained earlier in the literature. This causes doubt about the accuracy of the solutions. I would suggest that the authors should investigate solutions under the same conditions on the parameters as was discussed in the literature to enable the comparison between the obtained solutions and existing solutions as stated in section 1.5. I also suggest comparing the stability of the solutions obtained and existing solutions in literature.

Reviewer #3: The manuscript is technically sound full. It is presented written in an intelligent fashion and written in a standard English. The way the writers try to show the gap is outstanding. The conclusions are drawn appropriately based on the data presented.

Besides this, I have some comments 1) Their is no Acronym section. It is mandatory to insert this section unless no one knows what does it mean KPBBM, AAE, etc. 2) From your objectives I didn't see clearly what is your general objective and your specific objectives. So, try to show clearly 3) From your back ground on page 2 line 62 you try to cite [16-29] but from your reference section their is no reference number 28 and 29. So, what does it mean?

Generally, If the above comments are corrected I suggest to accept this manuscript.

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Reviewer #1: Yes: Dr. Muhammad Haroon Aftab

Reviewer #2: No

Reviewer #3: No

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Attachments

Attachment

Submitted filename: Comments.pdf

Investigating wave solutions and impact of nonlinearity: Comprehensive study of the KP-BBM model with bifurcation analysis

PONE-D-23-40797R1

Dear Dr. Islam S. M. Rayhanul

We’re pleased to inform you that your manuscript has been judged scientifically suitable for publication and will be formally accepted for publication once it meets all outstanding technical requirements.

Within one week, you’ll receive an e-mail detailing the required amendments. When these have been addressed, you’ll receive a formal acceptance letter and your manuscript will be scheduled for publication.

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Kind regards,

Muhammad Aqeel, Ph.D

Academic Editor

PLOS ONE

Additional Editor Comments (optional):

Accept

Reviewers' comments:

Reviewer's Responses to Questions

Comments to the Author

1. If the authors have adequately addressed your comments raised in a previous round of review and you feel that this manuscript is now acceptable for publication, you may indicate that here to bypass the “Comments to the Author” section, enter your conflict of interest statement in the “Confidential to Editor” section, and submit your "Accept" recommendation.

Reviewer #1: All comments have been addressed

Reviewer #2: All comments have been addressed

Reviewer #3: All comments have been addressed

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2. Is the manuscript technically sound, and do the data support the conclusions?

The manuscript must describe a technically sound piece of scientific research with data that supports the conclusions. Experiments must have been conducted rigorously, with appropriate controls, replication, and sample sizes. The conclusions must be drawn appropriately based on the data presented.

Reviewer #1: Yes

Reviewer #2: Yes

Reviewer #3: Yes

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3. Has the statistical analysis been performed appropriately and rigorously?

Reviewer #1: Yes

Reviewer #2: Yes

Reviewer #3: Yes

**********

4. Have the authors made all data underlying the findings in their manuscript fully available?

The PLOS Data policy requires authors to make all data underlying the findings described in their manuscript fully available without restriction, with rare exception (please refer to the Data Availability Statement in the manuscript PDF file). The data should be provided as part of the manuscript or its supporting information, or deposited to a public repository. For example, in addition to summary statistics, the data points behind means, medians and variance measures should be available. If there are restrictions on publicly sharing data—e.g. participant privacy or use of data from a third party—those must be specified.

Reviewer #1: Yes

Reviewer #2: Yes

Reviewer #3: Yes

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5. Is the manuscript presented in an intelligible fashion and written in standard English?

PLOS ONE does not copyedit accepted manuscripts, so the language in submitted articles must be clear, correct, and unambiguous. Any typographical or grammatical errors should be corrected at revision, so please note any specific errors here.

Reviewer #1: Yes

Reviewer #2: Yes

Reviewer #3: Yes

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6. Review Comments to the Author

Please use the space provided to explain your answers to the questions above. You may also include additional comments for the author, including concerns about dual publication, research ethics, or publication ethics. (Please upload your review as an attachment if it exceeds 20,000 characters)

Reviewer #1: Tile: Investigating wave solutions and impact of nonlinearity: Comprehensive study of the KP-BBM model with bifurcation analysis:

All suggestions have been implemented accordingly.

Reviewer #2: The study presents good computation work. The paper revealed 32 solutions to the KP-BBM model using the unified method and 46 solutions using the AAE method. The authors provided a comparison study of their solutions and the solutions presented in the literature which supports the accuracy of the used method.

Reviewer #3: (No Response)

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7. PLOS authors have the option to publish the peer review history of their article (what does this mean?). If published, this will include your full peer review and any attached files.

If you choose “no”, your identity will remain anonymous but your review may still be made public.

Do you want your identity to be public for this peer review? For information about this choice, including consent withdrawal, please see our Privacy Policy.

Reviewer #1: Yes: Dr. Muhammad Haroon Aftab

Reviewer #2: No

Reviewer #3: No

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