Reply to “Comment on “Darboux transformation and classification of solution for mixed coupled nonlinear Schrödinger equations””

Algebro-geometric solution is a kind of very important solution in the integrable system. The soliton solution, breather solution and rogue wave solution can be obtained from the algebrogeometric solution through special limit. Therefore, we agree that almost all the “new soliton solutions” of the vector NLS equation are contained in the general formula in [1] as particular cases. However, it is still meaningful to find out the different type nonlinear localized wave solutions explicitly. Based on the explicit expressions, it is convenient to study on their physical property and potential applications. For instance, Akhmediev breather and rational solution of scalar NLS equation has been used to direct experiments to excite rogue wave in many physical systems [2, 3]. There have been lots of works about the reduction of algebro-geometric solution, such as the recent work [8]. In the paper [5], we presented an explicit expression for many types localized wave solutions in a unified form in a different way. The derivation method and solution form are both different from the ones in [1]. Furthermore, we discuss the classification of the general soliton formula on the nonzero background based on the dynamical behavior. Especially, the conditions for breather, dark soliton and rogue wave solution for mCNLSE are given in detail. These results are also quite distinctive from the results before. We fell sorry about the misunderstanding induced by some representations in the manuscript. We will revise them seriously. We are grateful to the author for his comment. Here, it is still need to reply to the explicit comments one by one.