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Backlund Transformation and Exact Solutions for a New Generalized Zakharov-Kuzentsov Equation with Nonlinear Terms of Any Order
Authors:CHEN Yong  LI Biao  ZHANG Hong-Qing
Abstract:In this paper, with the help of symbolic computation, a new Backlund transformation (BT) for a newgeneralized Zakharov-Kuznetsov equation with nonlinear term of any order, ut+aupux +bu2pux +γuxy +δuxxx +ρuxyy=0, is obtained by using the homogeneous balance method. Based on the BT, some exact solutions are presented.
Keywords:Backlund transformation  homogeneous balance method  generalized Zakharov-Kuznetsov equa-tion  explicit exact solution  symbolic computation  mathematica
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