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Exact transverse solitary and periodic wave solutions in a coupled nonlinear inductor-capacitor network

Exact transverse solitary and periodic wave solutions in a coupled nonlinear inductor-capacitor network
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摘要 Through two methods, we investigate the solitary and periodic wave solutions of the differential equation describing a nonlinear coupled two-dimensional discrete electrical lattice. The fixed points of our model equation are examined and the bifurcations of phase portraits of this equation for various values of the front wave velocity are presented. Using the sineGordon expansion method and classic integration, we obtain exact transverse solutions including breathers, bright solitons,and periodic solutions. Through two methods, we investigate the solitary and periodic wave solutions of the differential equation describing a nonlinear coupled two-dimensional discrete electrical lattice. The fixed points of our model equation are examined and the bifurcations of phase portraits of this equation for various values of the front wave velocity are presented. Using the sineGordon expansion method and classic integration, we obtain exact transverse solutions including breathers, bright solitons,and periodic solutions.
出处 《Chinese Physics B》 SCIE EI CAS CSCD 2018年第9期434-443,共10页 中国物理B(英文版)
关键词 nonlinear electrical lattices two-dimensional network sine-Gordon expansion exact transverse solitary wave solutions nonlinear electrical lattices two-dimensional network sine-Gordon expansion exact transverse solitary wave solutions
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