Bifurcation Phenomena of Nonlinear Waves in a Generalized Zakharov-Kuznetsov Equation

Yun Wu and Zhengrong Liu

Advances in Mathematical Physics, 2013, vol. 2013, 1-14

Abstract:

We study the bifurcation phenomena of nonlinear waves described by a generalized Zakharov-Kuznetsov equation . We reveal four kinds of interesting bifurcation phenomena. The first kind is that the low-kink waves can be bifurcated from the symmetric solitary waves, the 1-blow-up waves, the tall-kink waves, and the antisymmetric solitary waves. The second kind is that the 1-blow-up waves can be bifurcated from the periodic-blow-up waves, the symmetric solitary waves, and the 2-blow-up waves. The third kind is that the periodic-blow-up waves can be bifurcated from the symmetric periodic waves. The fourth kind is that the tall-kink waves can be bifurcated from the symmetric periodic waves.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:812120

DOI: 10.1155/2013/812120

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