四川师范大学学报（自然科学版）2011，Vol.34Issue(6)：788-793,6.DOI:10.3969/j.issn.1001-8395.2011.06.004
扩展的G′/G展开法和(2+1)维破裂孤子方程组的新解
The Further Extended G′/G-expansion Method and New Solutions of the (2 + 1 ) -dimensional Breaking Soliton Equations
摘要
Abstract
In this paper, the G'/C-expansion method is further extended to construct exact solutions of the (2+1)-dimensional breaking soliton equations. As a result, three types of travelling wave involving parameters are obtained. When the parameters are taken as special values the solitary waves are also derived from the travelling waves. The travelling wave solutions are expressed by the hyperbolic functions, the trigonometric functions and the rational functions. The results show the improved method with the aid a second-order linear ODE provided a very effective and powerful mathematical tool for solving many non-linear PDEs in mathematical physics.关键词
扩展的G′/G展开法/钟状孤立波解/扭状孤立波解/三角函数解Key words
the further extended G'/C-expansion method/bell type solitary waves/kink type solitary waves/triangular function solution分类
数理科学引用本文复制引用
许丽萍,张金良,王明亮..扩展的G′/G展开法和(2+1)维破裂孤子方程组的新解[J].四川师范大学学报（自然科学版）,2011,34(6):788-793,6.基金项目
河南省国际合作交流项目基金(084300510060和094300510050)资助项目 （084300510060和094300510050）
