Reply to “Comment on ‘Solitary waves in optical fibers governed by higher-order dispersion' ”

Abstract

We show that the authors of the preceding Comment [Schurmann and Serov, preceding Comment, Phys. Rev. A 100, 057801 (2019)10.1103/PhysRevA.100.057801] have not found a more general family of solutions of the generalized nonlinear Schrodinger equation (NLSE) with higher-order dispersions. Moreover, the necessary and sufficient conditions for the existence of the bounded traveling solutions presented by Kruglov (arXiv:1905.00960v1; arXiv:1905.00960v2) differ from the appropriate conditions in the preceding Comment. We have found (see the work by Kruglov) a regular method which yields the traveling-wave solutions of the generalized NLSE. This method differ from the approach presented in the preceding Comment. Moreover, our method yields a periodic bounded solution which is expressed in terms of elliptic Jacobi functions.