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(2+1)维改进的Zakharov-Kuznetsov方程的无穷序列复合型类孤子新解
引用本文:尹君毅.(2+1)维改进的Zakharov-Kuznetsov方程的无穷序列复合型类孤子新解[J].物理学报,2014,63(23):230202-230202.
作者姓名:尹君毅
作者单位:河南农业大学信息与管理科学学院, 郑州 450002
基金项目:河南农业大学基金(批准号:30300204)资助的课题~~
摘    要:对(G′/G)展开法做了进一步的研究,利用两次函数变换将二阶非线性辅助方程的求解问题转化为一元二次代数方程与Riccati方程的求解问题.借助Riccati方程的B?cklund变换及解的非线性叠加公式获得了辅助方程的无穷序列解.这样,利用(G′/G)展开法可以获得非线性发展方程的无穷序列解,这一方法是对已有方法的扩展,与已有方法相比可获得更丰富的无穷序列解.以(2+1)维改进的Zakharov-Kuznetsov方程为例得到了它的无穷序列新精确解.这一方法可以用来构造其他非线性发展方程的无穷序列解.

关 键 词:(G'  /G)展开法  改进的Zakharov-Kuznetsov方程  精确解
收稿时间:2014-06-07

New infinite sequence complexion soliton-like solutions of (2+1)-dimensional Zakharov-Kuznetsov modified equal width equation
Yin Jun-Yi.New infinite sequence complexion soliton-like solutions of (2+1)-dimensional Zakharov-Kuznetsov modified equal width equation[J].Acta Physica Sinica,2014,63(23):230202-230202.
Authors:Yin Jun-Yi
Abstract:The (G'/G)-expansion method is further studied, the solution to the second-order nonlinear auxiliary equation is changed into solving of one unknown quadratic equation and Riccati equation by two function transformations. An infinite sequence solution of auxiliary equation is obtained with the help of Bäcklund transformation of Riccati equation and nonlinear superposition formula of the solution. In this way, the infinite sequence solution to the nonlinear evolution equation can be obtained by the (G'/G)-expansion method, this method is an extension of existing methods, which can get more infinite series solutions. Take the (2+1)-dimensional Zakharov-Kuznetsov modified equal width equation as an example to obtain the new infinite sequence solution. This method can be used to get the infinite sequence solution to other nonlinear evolution equations.
Keywords: G')" href="#">(G' )-expansion method')" href="#">/G)-expansion method Zakharov-Kuznetsov modified equal width equation exact solutions
Keywords:(G'  /G)-expansion method  Zakharov-Kuznetsov modified equal width equation  exact solutions
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