Publication: Lie vector fields, conservation laws, bifurcation analysis, and jacobi elliptic solutions to the zakharov-kuznetsov modified equal-width equation
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Authors
Authors
Hosseini, Kamyar
Alizadeh, Farzaneh
Sadri Khatouni, Khadijeh
Hincal, E.
Alshehri, H. M.
Osman, M. S.
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Springer
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Abstract
The present paper intends to thoroughly study an evolutionary model called the Zakharov-Kuznetsov modified equal-width (ZK-MEW) equation. More precisely, Lie symmetries as well as invariant solutions to the ZK-MEW equation describing shallow and stratified waves in nonlinear LC circuits are first derived, and then a general theorem established by Ibragimov is adopted to retrieve its conservation laws. Additionally, by applying the qualitative theory of dynamical systems, the bifurcation analysis of the dynamical system is carried out and several Jacobi elliptic solutions to the ZK-MEW equation are formally constructed. In some case studies, the impact of the nonlinear coefficient on the physical features of bright and kink solitary waves as well as periodic continuous waves is examined in detail.
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Keywords
Zk-mew equation, Soliton-solutions, Waves, Kink, Zk-mew equation, Lie symmetries, Conservation laws, Bifurcation analysis, Jacobi elliptic solutions, Science & technology, Technology, Physical sciences, Engineering, electrical & electronic, Quantum science & technology, Engineering, Physics, Optics