Dynamic behaviors and soliton solutions of the modified Zakharov-Kuznetsov equation in the electrical transmission line

DOI10.1016/J.CAMWA.2014.06.021zbMath1362.35275OpenAlexW2091217810MaRDI QIDQ2397207

Bo Tian, Hui Zhong, Hui-Ling Zhen, Yan Jiang

Publication date: 30 May 2017

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2014.06.021

zbMATH Keywords

symbolic computationchaotic motionsmodified Zakharov-Kuznetsov equationsoliton propagationelectrical transmission line

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) KdV equations (Korteweg-de Vries equations) (35Q53) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Soliton solutions (35C08)

Related Items (12)

New complex wave patterns to the electrical transmission line model arising in network system ⋮ Multiple travelling wave solutions for electrical transmission line model ⋮ Soliton and soliton-like solutions to the modified Zakharov-Kuznetsov equation in nonlinear transmission line ⋮ Stability analysis and applications of traveling wave solutions of three-dimensional nonlinear modified Zakharov–Kuznetsov equation in a magnetized plasma ⋮ New soliton solutions for a discrete electrical lattice using the Jacobi elliptical function method ⋮ The \(N\)-loop soliton solutions for \((2+1)\)-dimensional Vakhnenko equation ⋮ Solitonic, super nonlinear, periodic, quasiperiodic, chaotic waves and conservation laws of modified Zakharov-Kuznetsov equation in transmission line ⋮ Symmetry reductions of the \((3+1)\)-dimensional modified Zakharov-Kuznetsov equation ⋮ Three-dimensional nonlinear modified Zakharov-Kuznetsov equation of ion-acoustic waves in a magnetized plasma ⋮ Chameleon's behavior of modulable nonlinear electrical transmission line ⋮ Lie point symmetries, conservation laws and exact solutions of electrical transmission line model ⋮ Approximate analytical solutions of generalized Zakharov-Kuznetsov and generalized modified Zakharov-Kuznetsov equations

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