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广义可压缩弹性杆方程解的爆破条件
  • ISSN号：1008-5513
  • 期刊名称：《纯粹数学与应用数学》
  • 时间：0
  • 分类：O175.29[理学—数学;理学—基础数学]
  • 作者机构：[1]中央财经大学应用数学学院,北京100081
  • 相关基金：国家自然科学基金（11171241）.
作者： 姜玲玉[1]
关键词： 广义可压弹性杆波动方程, 爆破, 尖峰孤立波解, generalized hyperelastic-rod wave equation, blow-up phenomenon, peaked solitary wave solutions 2010 MSC： 35J15
中文摘要：

研究广义可压缩弹性杆方程解的爆破条件及尖峰孤立波解的存在性．首先利用所建立的爆破准则，给出一个方程在有限时刻爆破的充分条件．其次，严格证明了其尖峰孤立波解的整体存在性．该结果丰富了此类Camassa-Holm型方程的研究．

英文摘要：

We investigate in the paper the wave-breaking phenomenon of a generalized hyperelastic-rod wave equation, which occurs in finite time for certain initial profiles. Moreover, we obtain the existence of some peaked solitary wave solutions. The results obtained enriches the research of the type of the Camassa-Holm equation.

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期刊信息
  • 《纯粹数学与应用数学》
  • 北大核心期刊（2004版）
  • 主管单位:陕西省教育厅
  • 主办单位:西北大学
  • 主编：辛周平
  • 地址：西安市长安区学府大道1号
  • 邮编：710127
  • 邮箱：sxbjb@nwu.edu.cn
  • 电话：029-88308431
  • 国际标准刊号：ISSN：1008-5513
  • 国内统一刊号：ISSN：61-1240/O1
  • 邮发代号:52-274
  • 获奖情况:
  • 2000年荣获《CAJ-CD规范》执行优秀奖,2006年获陕西省出版编辑良好奖,2006年出版编辑良好奖,2011-2012年度陕西省科技期刊编辑学会“优秀科技...
  • 国内外数据库收录:
  • 美国数学评论（网络版）,德国数学文摘,中国北大核心期刊（2004版）
  • 被引量:2975