The application and implementation of the modified tanh-sech method for high dimensional nonlinear partial differential equations

摘要：

The so-called direct tanh-sech function method, firstly proposed in 2002 by Yao and Li 1, is improved and implemented in Maple 12 with the help of Ritt-Wus method. It serves to construct the solitary wave solutions automatically and sufficiently not only for (1+1)-dimensional but also for high dimensional nonlinear partial differential equations only when they are inputted and followed by an ENTER key. Furthermore, a lot of solitary wave solutions including some new or more general ones for several nonlinear partial differential equations were automatically obtained using the automatic implementation software package given by us.

关键词： the tanh-sech method symbolic computation traveling wave solutions high dimensional nonlinear partial differential equations Ritt-Wus method

作者: Luo Wenqiang Zhang Liyuan Yao Ruoxia

作者单位: School of Computer Science, Shaanxi Normal University, Xian, 710062, China School of Computer Science, Shaanxi Normal University, Xian, 710062, China School of Mathematics, U

会议类型: 国际会议

会议名称: 2010 International Conference on Circuit and Signal Processing(2010年电路与信号处理国际会议 ICCSP 2010)

会议地点: 上海

会议语种:英文

页码: 431-434

在线出版日期: 2010-12-25（万方平台首次上网日期，不代表论文的发表时间）