Backlund transformation and soliton interactions for the Zakharov-Kuznetsov equation in plasmas

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:396

Article

Tian, Bo¹ 

[1] Beijing Univ Posts & Telecommun, State Key Lab Informat Photon & Opt Commun, Beijing 100876, Peoples R China

关键词: Zakharov-Kuznetsov equation for plasmas;    Hirota method;    Backlund transformation;    Wronskian determinant;    Symbolic computation;   

DOI  :  10.1016/j.jmaa.2012.06.047

来源: Elsevier

【 摘 要 】

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 Backlund transformation for the Zakharov-Kuznetsov equation are derived with the Hirota method and symbolic computation. N-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. (C) 2012 Elsevier Inc. All rights reserved.

【 授权许可】

Free