(2+1)维广义浅水波方程的周期波解

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英文篇名：Periodic wave solutions for(2+1)-dimensional generalization of shallow water wave equation 作者：傅海明 ; 戴正德 英文作者：FU Hai-ming;DAI Zheng-de;Department of Basic Courses,Guangzhou Huaxia Technical College;Mathematics Department,Yunnan University; 关键词：(2+1)维广义浅水波方程 ; Hirota方法 ; 周期波解 英文关键词：(2+1) dimensional generalization of shallow water wave equation;;Hirota method;;periodic wave solutions 中文刊名：QQHE 英文刊名：Journal of Qiqihar University(Natural Science Edition) 机构：广州华夏职业学院基础部;云南大学数学与统计学院; 出版日期：2013-11-15 出版单位：齐齐哈尔大学学报(自然科学版) 年：2013 期：v.29 基金：国家自然科学基金资助项目(10661002) 语种：中文; 页：QQHE201306024 页数：3 CN：06 ISSN：23-1419/N 分类号：78-80

摘要

扩展了Hirota法以构造(2+1)维广义浅水波方程的新的孤波解,即将Hirota法中的测试函数用新的测试函数来替代,得到了(2+1)维广义浅水波方程的周期孤立波解。显然扩展的Hirota方法也可以解其它类型的非线性演化方程。
        Hirota method proposed recently is extended to construct more exact solutions of nonlinear evolution equations. To be more precise,new text function is used instead of text function in Hirota method. By using the extended Hirota method,(2+1)-dimensional generalization of shallow water wave equation is solved periodic soliton wave solutions. Obviously,the extended Hirota method can be applied to solve other type of nonlinear evolution equations as well.

引文

[1]FU Haiming.Exact Solutions for a class of Variable Coefficients Nonlinear Evolution Equations.Modern Applied Science,2008,2(5):34-36.
    [2]李志斌,张善卿.非线性波方程准确孤立波解的符号计算[J].数学物理学报,1997,17(1):81-89.
    [3]傅海明,戴正德.一个(2+1)-维激光方程的孤波解[J].西北师范大学学报:自然科学版,2009,45(1):44-47.
    [4]傅海明,戴正德.(3+1)维孤子方程的周期孤波解[J].东北师范大学学报:自然科学版,2011,47(2):32-34,42.
    [5]傅海明,戴正德.(3+1)维K-P方程的周期孤波解[J].山西大学学报:自然科学版,2010,33(1):4-7.
    [6]LI Jibin,ZHANG Lijun.Bifurcations of traveling wave solution in generalized Pochhammer-Chree equation[J].Chaos,Soitons and Fractals,2002,14:581-593.
    [7]FAN Eengui.Travelling wave solutions in terms of special functions for nonlinear coupled evolution systems[J].Physics Letters A,300,(2,3),2002:243-249.