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Exact traveling wave solutions and bifurcations of a further modified Zakharov–Kuznetsov equation

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Abstract

In this paper, we consider a further modified Zakharov–Kuznetsov equation. The study of the traveling wave solutions for this model derives a planar Hamiltonian system. By investigating the dynamical behavior and bifurcation of solutions of the traveling wave system, we obtain possible explicit exact parametric representations of solitary wave solutions, kink and anti-kink wave solutions,under four groups of parameter conditions.

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Authors and Affiliations

  1. Department of Mathematics, Zhejiang Normal University, Jinhua, 321004, Zhejiang, People’s Republic of China

    Temesgen Desta Leta & Jibin Li

Authors
  1. Temesgen Desta Leta
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  2. Jibin Li
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Correspondence to Jibin Li.

Additional information

This research was partially supported by the National Natural Science Foundation of China (11471289, 11571318).

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Leta, T.D., Li, J. Exact traveling wave solutions and bifurcations of a further modified Zakharov–Kuznetsov equation. Nonlinear Dyn 85, 2629–2634 (2016). https://doi.org/10.1007/s11071-016-2850-x

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  • DOI: https://doi.org/10.1007/s11071-016-2850-x

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