扩展映射法与Boussinesq方程新的精确解  

The extended mapping method and new exact solutions for Boussinesq equation

作　　者：纪建成[1] 信春刚[1] 韩家骅[1] 

机构地区：[1]安徽大学物理与材料科学学院,安徽合肥230039

出　　处：《安徽大学学报（自然科学版）》2011年第5期46-51,共6页Journal of Anhui University(Natural Science Edition)

基　　金：安徽省科技厅年度基金重点资助项目(01041188);安徽省省级精品课程建设基金资助项目

摘　　要：运用扩展映射法,结合辅助方程,利用计算机代数系统Mathematica求出Boussinesq方程一系列新的精确周期解,这些精确解在极限情况下(m→1)退化为相应的孤波解.该方法也可用来求解其他非线性演化方程,如Klein-Gordon方程和Benjamin方程等.By making use of extended mapping method and auxiliary equation for finding new periodic wave solutions of nonlinear evolution equations in mathematical physics,we obtained some new periodic wave solutions for Boussinesq equation.When the modulus m→1,these solutions degenerated into solitary wave solutions.This method also could be used to find new periodic wave solutions of other nonlinear evolution equations such as Klein-Gordon equation and Benjamin equation,etc.

关 键 词：映射法 辅助方程法 非线性演化方程 精确解 周期解 

分 类 号：O415[理学—理论物理]