Soliton interactions and their dynamics in a higher-order nonlinear self-dual network equation
Soliton interactions and their dynamics in a higher-order nonlinear self-dual network equation
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高阶非线性自对偶网络方程中的孤子相互作用及其动力学
DOI：
10.1016/j.cjph.2019.12.013
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发表时间：
2020-04
期刊：
影响因子：
--
通讯作者：
Liu Yaqing
中科院分区：
文献类型：
--
作者：
Yuan Cui-Lian;Wen Xiao-Yong;Wang Hao-Tian;Liu Yaqing
Under investigation in this paper is a higher-order nonlinear self-dual network equation, which may simulate the wave propagation in a ladder type electric circuit. By means of the N-fold Darboux transformation and symbolic computation, the N-soliton solutions in determinant form are obtained. Based on the asymptotic and graphic analysis, the elastic interaction phenomena between/among two-, three- and four-soliton solutions are discussed, and some important physical quantities are accurately analyzed. Numerical simulations are used to explore the dynamical stability of one- and two-soliton solutions. Results might be helpful for understanding the propagation and interaction properties of electrical signals in a ladder type nonlinear self-dual network.
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DOI：
10.1063/1.4939984
发表时间：
2016-01
期刊：
Chaos (Woodbury, N.Y.)
影响因子：
--
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影响因子：
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作者：
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5
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DOI：
10.1007/978-3-662-55771-6_300606
发表时间：
2020
期刊：
Encyclopedia of Continuum Mechanics
影响因子：
--
作者：
Sascha Vongehr
通讯作者：
Sascha Vongehr
影响因子：
5
作者：
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Xi-Yang Xie;Gao-Qing Meng