(2+1)维Broer-Kaup方程的精确孤子解  

Exact soliton solutions of the (2+1)-dimensional Broer Kaup equation

作　　者：应金萍[1] 

机构地区：[1]宁波工商职业技术学院,浙江宁波315012

出　　处：《浙江师大学报（自然科学版）》2001年第2期153-156,共4页Journal of Zhejiang Normal University(Natoral Sciences)

摘　　要：利用 Backlund变换方法和截断 Painlevé分析方法研究了 ( 2 +1 )维 Broer-Kaup方程 .给出了许多有意义的精确孤立子解 .一类多孤子解可以借助于变换系数的扩散方程的精确解来述 .由于在孤子解的一般式中包含了 3个任意函数 ,使 ( 2 +1 )维 Broer-Kaup方程具有非常丰富的孤子结构 .当这些任意函数被适当选定时 ,可以得到多直线孤子和多曲线孤子解 。By means of the Bcklund transformation and the standard truncated Painlevé analysis ,many significant excat soliton solutions of the (2+1) dimensional Broer Kaup equation were obtained.A special type of soliton solutions could be described by the variable coefficient heat conduction equation.The entrance of three arbitrary functions in the general expressions of the soliton made the solitons of the (2+1) dimensional Broer Kaup equation posses abundant structures.By fixing the arbitary functions appropriately,it was proved multiple straight line solitons,multiple straight line solitons,dromions,ring solitons and so on.

关 键 词：(2+1)维BROER-KAUP方程 Dromion解 环孤子立解 孤子理论 可积系统 BAECKLUND变换 截断Painleve分析 

分 类 号：O175.5[理学—数学] O241.83[理学—基础数学]