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Soliton and soliton-like solutions to the modified Zakharov–Kuznetsov equation in nonlinear transmission line

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Abstract

This work presents an analytical study of dynamic behaviors of solitons in the electrical transmission line. The nonlinear dynamical model that is the modified Zakharov–Kuznetsov equation with an external force is investigated. Via the Riccati equation mapping scheme, explicit twenty seven traveling wave solutions, which include periodic solutions, rational wave solution, soliton solutions as well as soliton-like solutions, are constructed for the first time.

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Acknowledgments

This work was supported by the Program for Outstanding Young and Middle-aged Scientific and Technological Innovation Team of the Higher Education Institutions of Hubei Province of China under the Grant Number T201525.

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  1. School of Electronics and Information Engineering, Wuhan Donghu University, Wuhan, 430212, People’s Republic of China

    Qin Zhou

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Zhou, Q. Soliton and soliton-like solutions to the modified Zakharov–Kuznetsov equation in nonlinear transmission line. Nonlinear Dyn 83, 1429–1435 (2016). https://doi.org/10.1007/s11071-015-2415-4

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