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Bell多项式在经典Boussinesq方程中的应用
  • ISSN号：0254-3079
  • 期刊名称：《应用数学学报》
  • 时间：0
  • 分类：O175.24[理学—数学;理学—基础数学]
  • 作者机构：[1]中国矿业大学(北京)理学院,北京100083
  • 相关基金：国家自然科学基金（10731080,10971222,11271366）; 中央高校基本科研资助项目
作者： 魏小然[1], 薛玲玲[1]
关键词： 经典Boussinesq方程, BELL多项式, Hirota双线性形式, BACKLUND变换, LAX对, classical Boussinesq equation, Bell polynomial, Hirota bilinear form, B?cklund transformation, Lax pair
中文摘要：

本文借助于Bell多项式研究经典Boussinesq方程,将其转换成Hirota双线性形式,构造了带参数的B（a｜¨）cklund变换,进而重新导出了其Lax表示.

英文摘要：

The classical Boussinesq equation is revisited. By means of Bell polynomials, this equation is bilinearized. Furthermore, a Backlund transformation, consisting of four equations with an essential parameter, is constructed for it. Also, its Lax pair is recovered.

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期刊信息
  • 《应用数学学报》
  • 中国科技核心期刊
  • 主管单位:中国科学院
  • 主办单位:中国数学会 中国科学院数学与系统科学研究院
  • 主编：丁夏畦
  • 地址：北京市海淀区中关村东路55号
  • 邮编：100190
  • 邮箱：
  • 电话：
  • 国际标准刊号：ISSN：0254-3079
  • 国内统一刊号：ISSN：11-2040/O1
  • 邮发代号:2-822
  • 获奖情况:
  • 1996、2000年获“中科院优秀科技期刊”三等奖,1997年获“第二届全国优秀科技期刊”三等奖,2001年入选“双效期刊”（中国期刊方阵）
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国数学评论（网络版）,德国数学文摘,日本日本科学技术振兴机构数据库,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）,中国北大核心期刊（2000版）
  • 被引量:6864