势BLMP系统的Bcklund变换和新的局域相干结构(英文)  

Bcklund Transformation and New Coherent Structures of the Potential BLMP System

作　　者：刘官厅[1] 

机构地区：[1]内蒙古师范大学数学科学学院,内蒙古呼和浩特010022

出　　处：《内蒙古师范大学学报（自然科学汉文版）》2008年第2期145-148,共4页Journal of Inner Mongolia Normal University(Natural Science Edition)

基　　金：the National Natural Science Foundation of China(10761005);the Inner Mongolia Natural Science Foundation(200607010104)

摘　　要：利用标准变换Painlevé截断展开与符号计算,给出了势BLMP系统的一个简单的Bcklund变换.在该变换中引入一个完全和分离变量函数,求得势BLMP系统的一个包含3个任意函数的精确解.通过对任意函数的适当选取,给出若干新的局域相干结构和周期性的局域相干结构.A simple Baecklund transformation of potential BLMP system is obtained by using the standard truncated Painleve expansion and symbolic computation. Then introducing a completely variable separation function to the Baeicklund transformation,a solution of the potential BLMP system with three arbitrary functions is given. Starting from it, the very rich localized coherent structures and periodical coherent structures are revealed by appropriately selecting arbitrary functions.

关 键 词：势BLMP系统 BAECKLUND变换 变量分离法 局域相干结构 

分 类 号：O411.1[理学—理论物理]