(1+1)维经典Boussinesq-Burgers系统的留数对称和多孤子解  

Residual Symmetries and Multiple Soliton Solutions to (1+1) Dimensional Classical Boussinesq-Burgers System

作　　者：曹伟平[1] 费金喜 李冀英 CAO Weiping FEI Jinxil LI Jiying(Faculty of Engineering, Lishui University, Lishui 323000, Zhejiang The Affiliated Senior High School of Lishui University, Lishui 323000, Zhejiang)

机构地区：[1]丽水学院工学院,浙江丽水323000 [2]丽水学院附属高级中学,浙江丽水323000

出　　处：《丽水学院学报》2017年第5期8-15,共8页Journal of Lishui University

基　　金：浙江省自然科学基金资助项目"带电粒子对受限高分子链输运性质的影响"(LQ14A040001)

摘　　要：通过Painlevé截断展开得到(1+1)维经典Boussinesq-Burgers系统的留数对称,引入新的变量,延拓系统把留数对称局域到李点对称,获得该系统的有限变换。利用延拓系统,获得n次Bcklund变换和多孤子解。The non-local residual symmetries related to truncated Painleve expansion of Boussinesq-Burgers system are obtained. In order to localize the residual symmetries, we introduce new variables to prolong the original Boussinesq-Burgers to a new system. We obtain the finite transformation for the localized residual symmetry. Via prolonged system n-th Backlund transformation and multiple soliton solutions are derived.

关 键 词：Boussinesq-Burgers系统 留数对称 B cklund变换 多孤子解 

分 类 号：O411.1[理学—理论物理]