Article ID Journal Published Year Pages File Type
4617154 Journal of Mathematical Analysis and Applications 2012 7 Pages PDF
Abstract

Symbolically investigated in this paper is the Zakharov–Kuznetsov equation which describes the propagation of the electrostatic excitations in a magnetized, rotating and collisionless three-component plasma. Bilinear form and Bäcklund transformation for the Zakharov–Kuznetsov equation are derived with the Hirota method and symbolic computation. NN-soliton solutions in terms of the Wronskian determinant are constructed, and the verification is finished through the direct substitution into bilinear equations. Propagation characteristics and interaction behaviors of the solitons are discussed through a graphical analysis. During the propagation, the one-soliton width and amplitude are both unchanged and not related to the coefficients, while the soliton interactions are elastic.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
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