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- W2327706135 abstract "We consider a lossless one-dimensional nonlinear discrete bi-inductance electrical transmission line made of $N$ identical unit cells. When lattice effects are considered, we use the reductive perturbation method in the semidiscrete limit to show that the dynamics of modulated waves can be modeled by the classical nonlinear Schrodinger (CNLS) equation, which describes the modulational instability and the propagation of bright and dark solitons on a continuous-wave background. Our theoretical analysis based on the CNLS equation predicts either two or four frequency regions with different behavior concerning the modulational instability of a plane wave. With the help of the analytical solutions of the CNLS equation, we investigate analytically the effects of the linear capacitance ${C}_{S}$ on the dynamics of matter-wave solitons in the network. Our results reveal that the linear parameter ${C}_{S}$ can be used to manipulate the motion of bright, dark, and kink soliton in the network." @default.
- W2327706135 created "2016-06-24" @default.
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- W2327706135 date "2015-03-12" @default.
- W2327706135 modified "2023-09-27" @default.
- W2327706135 title "Analytical study of dynamics of matter-wave solitons in lossless nonlinear discrete bi-inductance transmission lines" @default.
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- W2327706135 doi "https://doi.org/10.1103/physreve.91.032907" @default.
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