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Evolution of solitons of nonlinear Schrödinger equation with variable parameters
Authors:Shuangchun Wen  Wencheng Xu  Qi Guo  Songhao Liu
Institution:(1) Department of Physics, Hengyang Teachers College, 421008 Hengyang, China;(2) Institute of Quantum Electronics, South China Normal University, 510631 Guangzhou, China
Abstract:The nonlinear Schrödinger equation with variable parameters is solved by means of variational technique. A set of evolution equations for the solitary-wave solution is derived. The propagation properties of the solitons in an adiabatic amplification system and in a dispersion-decreasing fiber are analyzed. An explicit analytical approximate soliton solution in the exponentially dispersion-decreasing fiber is obtained using the derived dynamical equations.
Keywords:nonlinear Schr?dinger equation  optical soliton  optical fiber
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