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Vector bright solitons and their interactions of the couple Fokas-Lenells system in a birefringent optical fiber. (English) Zbl 07171830
Summary: In the fiber communication domain, people are facing the challenges due to the rapidly growing requirement on the capacity from new functions and services. Multi-hump solitons are therefore noticed and studied on the feasibility of improving the capacity of the optical fiber communication. In this paper, we study the vector bright solitons and their interaction properties of the coupled Fokas-Lenells system, which models the femtosecond optical pulses in a birefringent optical fiber. We derive the so-called degenerate and nondegenerate vector solitons associated with the one and two eigenvalues, respectively, and the latter admits the symmetric profile. Asymptotically and graphically, interaction patterns of such solitons are classified as follows: Interactions between the degenerate solitons can be elastic or inelastic, reflecting the intensity redistribution between the two components; Interactions between the degenerate and nondegenerate solitons are inelastic, which make the nondegenerate solitons maintaining or losing the profiles in the different situations; Interactions between the nondegenerate solitons do not cause the intensity redistribution, while their shapes change slightly or remain unchanged.

MSC:
35Q55 NLS equations (nonlinear Schrödinger equations)
35C08 Soliton solutions
35B40 Asymptotic behavior of solutions to PDEs
78A60 Lasers, masers, optical bistability, nonlinear optics
35Q51 Soliton equations
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