Discovery of New Exact Wave Solutions to the M-Fractional Complex Three Coupled Maccari’s System by Sardar Sub-Equation Scheme

Comment 1

     In the introduction include a paragraph about the importance of studying and application of fractional equations. Please, provide several references.

Response:

Done.

Comment 2

The introduction does not present the necessary background of the M-fractional complex three coupled Maccari’s system. The authors should give references where the M-fractional complex three coupled Maccari’s system was suggested the first, and which methods were applied before.

Response:

Done.

Comment 3

Authors should describe the application of M-fractional complex three coupled Maccari’s system with appropriate references, to justify the importance of this work. Please, provide several references.

Response:

Done.

Comment 4

   The Sardar sub-equation scheme is used in this work, but it is not new. Why is it used?

Response:

Added.

Comment 5

Write about the advantages and disadvantages of the Sardar sub-equation method over other existing methods? Please, present examples and discussion.

Response:

Added.

Comment 6

Please check the reference to Eq. (33) on page 5.

Response:

Corrected.

Comment 7

Describe why case m=1 in Eq. (4) (see page 6), and explain in detail.

Response:

Done.

Comment 8

In Sec. “Graphical representation of solutions” give explanation of what kind of solutions are obtained (soliton, rogue wave, dromion, kink, breather, and others).

Response:

Done.

Comment 9

The conclusion should be further expanded by providing information about the applications of the solutions.

Response:

Done.

Comment 1

There are no references to the mathematical apparatus of fractional calculus in the introduction. In particular, is a M-fractional derivative.

Response:

Done.

Comment 2

Equation (1) is not a fractional partial differential equation, since it consists of integer partial derivative.

Response:

Corrected.

Comment 3

  Transformation (2) does not provide explanations for parameters λ,κ,μ.

Response:

Explanation for  parameters λ,κ,μ is added.

Comment 4

  In the sum (4) it is not known in what range m changes.

Response:

Explained.

Comment 5

Question to the system (20), it is not known in which area the solution is being sought, instead of l you need i. Instead of ϒ you need γ.

Response:

Done.

Comment 6

There is also a question about the use of fractional derivatives, in the introduction and further in the next it is not said about the choice of fractional derivatives. Why were M-fractional derivatives?

Response:

Done.

Comment 7

The authors solve a physical problem. Therefore, the question related to the physical meaning of the M-fractional derivative also arises here.

Response:

Done.

Comment 8

Visualization of results. No interpretation of results. How physical are graphs with negative time and spatial coordinates?

Response:

Done.

Comment 9

There is no comparision with previously obtained results, at least with the work [15].

Response:

Done.

Comment 10

The role of each author in the article is not known.

Response:

Added.

Comment 11

The article han an abbreviation that can be placed in a sepatate table at the end of the articl.

Response:

Now abbreviation are defined before using.