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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Northwestern Polytech Univ, Dept Math Appl, Xian 710072, Shaanxi, Peoples R ChinaNorthwestern Polytech Univ, Dept Math Appl, Xian 710072, Shaanxi, Peoples R China
Zhao, Xiaoshan
Zhou, Hongxian
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机构:Northwestern Polytech Univ, Dept Math Appl, Xian 710072, Shaanxi, Peoples R China
Zhou, Hongxian
Tang, Yaning
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机构:Northwestern Polytech Univ, Dept Math Appl, Xian 710072, Shaanxi, Peoples R China
Tang, Yaning
Jia, Huabing
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机构:Northwestern Polytech Univ, Dept Math Appl, Xian 710072, Shaanxi, Peoples R China