Maccari系统的椭圆函数传播波  

Elliptic function propagating wave for Maccari system

作　　者：黄文华[1,2] 刘宇陆[3] 

机构地区：[1]湖州师范学院理学院 [2]上海大学应用数学和力学研究所,上海200072 [3]上海大学应用数学和力学研究所

出　　处：《物理学报》2007年第9期5026-5032,共7页Acta Physica Sinica

摘　　要：基于多线性分离变量法所得(2+1)维Maccari非线性系统的精确解,在分离变量函数中引入雅克比椭圆函数,获得两类双周期传播波模式.椭圆函数波在不同模量取值下,具有不同的性状特点,特别是在模量极限情形下,可以约化为dromion和peakon激发形态.利用图示法对椭圆函数波的相互作用进行了探讨,发现其相互作用是非弹性的.Based on the exact solution by multi-linear variable separation approach and introducing Jacobi elliptic functions in the variable separation functions, two types of doubly periodic propagating wave patterns for the Maccari system are derived. When the moduli of elliptic functions are set different, these periodic waves show different features with interesting properties. Especially, in the limiting case, the elliptic function waves may degenerate to dromion and peakon excitations. Graphical investigation of the interaction of elliptic function waves shows it to be inelastic.

关 键 词：Maccari系统 多线性分离变量法 雅克比椭圆函数 周期波 

分 类 号：O415[理学—理论物理] O411[理学—物理]