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BANG-QING LI1,* , YU-LAN MA2
- School of Computer and Information Engineering, Beijing Technology and Business University, Beijing, 100048, China
- School of Science, Beijing Technology and Business University, Beijing, 100048, China
A generalized optical fiber system with three variable coefficient functions is investigated, which is modelled as a nonlinear Schrödinger equation with variable gain coefficient, variable dispersion coefficient and variable nonlinearity coefficient. An analytic soliton solution and its compatible condition are derived via using the auxiliary equation method. Through appropriately setting the coefficient functions as specific functions, five types of backgrounds are studied, namely, plain, upper-arch, downward-arch, trapezium and periodic wave backgrounds. The results reveal the new characteristics for the optical fiber system and contribute to a better understanding to the optical propagation background..
Optical fiber system, Nonlinear Schrödinger equation, Variable coefficients, Auxiliary equation method, Analytic generalized soliton solution, Soliton propagation background.
Submitted at: May 4, 2017
Accepted at: Oct. 10, 2018
BANG-QING LI, YU-LAN MA, Optical soliton propagation with different backgrounds for a variable coefficient optical fiber system, Journal of Optoelectronics and Advanced Materials Vol. 20, Iss. 9-10, pp. 462-467 (2018)
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