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一类广义 Boussinesq方程的complexiton解
  • ISSN号：1006-8341
  • 期刊名称：纺织高校基础科学学报
  • 时间：2013
  • 页码：359-363
  • 分类：O193[理学—数学;理学—基础数学] O29[理学—应用数学;理学—数学]
  • 作者机构：[1]西北工业大学理学院,陕西西安710072, [2]西安科技大学理学院,陕西西安710054
  • 相关基金：国家自然科学基金资助项目（11172233,11002110,71271171）;陕西省教育厅科学研究计划项目（2013JK0584）;西北工业大学基础研究基金项目（JC20110276）
  • 相关项目：非线性波方程的精确解与动力学研究及其在反应扩散模型中的应用
作者： 苏军|徐伟|徐根玖|
关键词： 广义BOUSSINESQ方程, WRONSKIAN技巧, HIROTA方法, complexiton解, generalized Boussinesq equation, Wronskian technique, Hirota method, complexiton solution
中文摘要：

利用 Wronskian 技巧构造了一类非线性孤子方程新的形式解。首先，给出非线性广义Boussinesq方程的双线性形式，利用Wronskian技巧，构造出该非线性方程所满足的一个线性偏微分条件方程组。然后，求解该微分条件方程组，得到了广义Boussinesq方程的Wronskian行列式解。在此基础上，根据系数矩阵的特征值类型，构造出该非线性广义Boussinesq方程的一类新的精确解即complexiton解。

英文摘要：

The Wronskian technique is further studied for constructing new Wronskian determinant solu-tions of nonlinear soliton equations .First ,the bilinear form of a generalized Boussinesq equation is giv-en .The linear partial differential equations are obtained with Wronskian technique .Then the Wronskian determinant solutions of the generalized Boussinesq equation are gained by solving the linear partial dif-ferential conditions .Based on these ,complexiton solutions of the generalized Boussinesq equation are constructed .

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期刊信息
  • 《纺织高校基础科学学报》
  • 中国科技核心期刊
  • 主管单位:陕西省教育厅
  • 主办单位:西安工程大学 全国纺织教育学会
  • 主编：高勇
  • 地址：西安市金花南路19号179信箱
  • 邮编：710048
  • 邮箱：xuebao699@163.com
  • 电话：029-62779061 62779060
  • 国际标准刊号：ISSN：1006-8341
  • 国内统一刊号：ISSN：61-1296/TS
  • 邮发代号:
  • 获奖情况:
  • 1997年7月获陕西省教育厅、省新闻出版局优秀期刊...,陕西省优秀科技期刊,陕西省高校优秀期刊
  • 国内外数据库收录:
  • 美国化学文摘（网络版）,波兰哥白尼索引,德国数学文摘,荷兰文摘与引文数据库,美国剑桥科学文摘,英国世界纺织文摘,中国中国科技核心期刊
  • 被引量:2230