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Diverse chirped optical solitons and new complex traveling waves in nonlinear optical fibers. (English) Zbl 1451.35049

Summary: This paper studies chirped optical solitons in nonlinear optical fibers. However, we obtain diverse soliton solutions and new chirped bright and dark solitons, trigonometric function solutions and rational solutions by adopting two formal integration methods. The obtained results take into account the different conditions set on the parameters of the nonlinear ordinary differential equation of the new extended direct algebraic equation method. These results are more general compared to H. Rezazadeh et al. [“New optical solitons of nonlinear conformable fractional Schrödinger-Hirota equation”, Optik 172, 545–553 (2018; doi:10.1016/j.ijleo.2018.06.111)] and S. Yakada et al. [“Miscellaneous new traveling waves in metamaterials by means of the new extended direct algebraic method”, ibid. 197, Article ID 163108 (2019; doi:10.1016/j.ijleo.2019.16310810.1016/j.ijleo.2019.16310810.1016/j.ijleo.2019.163108)].

MSC:

35C08 Soliton solutions
35Q51 Soliton equations
81V80 Quantum optics
78A60 Lasers, masers, optical bistability, nonlinear optics
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