1. Generalized Darboux transformation, solitonic interactions and bound states for a coupled fourth-order nonlinear Schrödinger system in a birefringent optical fiber.
- Author
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Wang, Meng, Tian, Bo, Hu, Cong-Cong, and Liu, Shao-Hua
- Subjects
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BIREFRINGENT optical fibers , *DARBOUX transformations , *OPTICAL fiber communication , *OPTICAL communications , *NONLINEAR systems , *BIREFRINGENCE , *ULTRA-short pulsed lasers , *OPTICAL solitons - Abstract
The optical fiber communication system is one of the components of a supporting system in the modern Internet fields. Under investigation in this paper is a coupled fourth-order nonlinear Schrödinger system, which describes the ultrashort optical pluses in a birefringent optical fiber. By virtue of the existing Lax pair, generalized Darboux transformation, two- and three-soliton solutions are derived, with respect to the polarization components of the electric field. Based on such solutions, we graphically display (1) the elastic interactions between/among the two/three solitons on a zero-intensity background, where amplitudes of the solitons remain unchanged; (2) the inelastic interactions between/among the two/three solitons, where amplitudes of the solitons change; (3) the bound state among the three solitons; (4) the higher-order linear and nonlinear effects, represented by β , on the polarization components of the electric field: The interval between two peaks becomes smaller and the numbers of the peaks increase when the value of β increases; The three solitons move along the positive time direction when the value of β decreases; The distances between the adjacent peaks become smaller when the value of β increases. [ABSTRACT FROM AUTHOR]
- Published
- 2021
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