Construction of Theta Function Solutions to KdV-MKdV Equation Based on Mathematica

摘要：

In this paper, the auxiliary equation method is used to seek exact solutions for the KdV-MKdV soliton equation. 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 equationmethod KiV-MKdV equation theta functions solutions symbolic computation

作者: Yongjie Li Zhiru Zhuang

作者单位: College 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: 574-577

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）