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求解椭圆型界面问题的一类新多重网格方法
  • ISSN号：1673-808X
  • 期刊名称：桂林电子科技大学学报
  • 时间：2012
  • 页码：325-330
  • 分类：O175.2[理学—数学;理学—基础数学]
  • 作者机构：[1]红河学院数学学院,云南蒙自661100, [2]昆明学院数学系,云南昆明650031, [3]思茅师范高等专科学校数学系,云南普洱665000
  • 相关基金：国家自然科学基金（11161020）;云南省科技厅项目（2011FZ193）;昆明学院校级项目（XJ11L021）.
  • 相关项目：电磁场问题的基于新延拓方法的快速多重网格方法研究
作者： 董白英|李郴良|胡晔|
关键词： 广义的(2+1)维Boussinesq方程, 齐次平衡, 改进的(G'/G)-展开法, 精确解, generalized （2＋1） dimensional Boussinesq equation, homogeneous balance, improved （G＇/G）-expansion method, exact solution
中文摘要：

利用改进的（G＇／G）-展开法，求广义的（2＋1）维Boussinesq方程的精确解，得到了该方程含有较多任意参数的用双曲函数、三角函数和有理函数表示的精确解，当双曲函数表示的行波解中参数取特殊值时，便得到广义的（2＋1）维Boussinesq方程的孤立波解．

英文摘要：

In this paper, the improved （G＇/G）-expansion method is used to construct exact solutions of the generalized （2＋1）-dimensional Boussinesq equation. As a result, some new travelling wave solutions involving parameters, expressed by three types of functions which are the hyperbolic functions, the trigonometric functions and the rational functions, are obtained. When the parameters are taken as special values, the solitary wave solutions are derived from the hyperbolic function solutions.

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电磁场问题的基于新延拓方法的快速多重网格方法研究
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期刊信息
  • 《桂林电子科技大学学报》
  • 主管单位:桂林电子科技大学
  • 主办单位:桂林电子科技大学
  • 主编：古天龙
  • 地址：桂林市金鸡路1号
  • 邮编：541004
  • 邮箱：jgiet@guet.edu.cn
  • 电话：0773-2291014 2290812
  • 国际标准刊号：ISSN：1673-808X
  • 国内统一刊号：ISSN：45-1351/TN
  • 邮发代号:
  • 获奖情况:
  • 全国高等学校自然科学学报优秀编辑质量奖,广西优秀自然科学期刊,广西高校优秀自然科学学报,《CAJ-CD规范》执行优秀期刊,中国科技核心期刊
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  • 被引量:1908