The Jacobin elliptic function expansion method for solitonic solutions to nonlinear partial differential equations with symbolic computation

摘要：

In this paper, based on the computerized symbolic computation, the Jacobin elliptic function expansion method is improved for the solitonic solutions to nonlinear partial differential equations. A coupled KdV system of equations is chosen to illustrate the method, in which a simple transformation is used to simplify calculating process, and many new exact travelling wave solutions are obtained, especially the solutions involving fourth fourth power of Jacobin elliptic functions.

关键词： Jacobin elliptic function solitonic solution symbolic computation

作者: Xiqiang Zhao Weijun Sun

作者单位: College of Mathematical Sciences Ocean University of China Qingdao Shandong 266100, P.R. China School of Distance Education Shandong University of Technology Zibo Shandong 255033, P.R. China

会议类型: 国际会议

会议名称: 2011 Seventh International Conference on Natural Computation(第七届自然计算国际会议 ICNC 2011)

会议地点: 上海

会议语种:英文

页码: 1436-1439

在线出版日期: 2011-07-26（万方平台首次上网日期，不代表论文的发表时间）