Symbolic Computation and Construction of Exact Travelling WaveSolutions to the variant Boussinesq equations

摘要：

In this paper, the auxiliary equation method is used to seek exact solutions for the the variant Boussinesq equations. As a result, some traveling wave solutions in terms of theta functions are successfully obtained with the aid of symbolic computation for the first time. It is shown that the auxiliary equation method is a very effective and powerful mathematical tool for solving nonlinear evolution equations in mathematics and physics.

关键词： the auxiliary equation method the variant Boussinesq equations theta functions solutions symbolic computation

作者: Conggang Liang Zhiru Zhuang

作者单位: School of Mathematics and Information Science Pingdingshan University Pingdingshan, China Modern Education Technology Center Henan University ofEconomics and Law Zhengzhou, China

会议类型: 国际会议

会议名称: 2011 3rd International Conference on Advanced Computer Control(2011年IEEE第三届高端计算机控制国际会议 ICACC2011)

会议地点: 哈尔滨

会议语种:英文

页码: 570-573

在线出版日期: 2011-01-18（万方平台首次上网日期，不代表论文的发表时间）