Broer-Kaup方程的Lie点对称及不变解  

Lie Point Symmetry and Invariant Solutions of Broer-Kaup Equation

作　　者：刘丽红[1] 

机构地区：[1]辽宁师范大学数学学院,辽宁大连116029

出　　处：《辽宁工业大学学报（自然科学版）》2011年第5期341-346,共6页Journal of Liaoning University of Technology(Natural Science Edition)

摘　　要：讨论了Broer-Kaup方程。通过Lie群方法求出了该方程的李点对称,并利用李点对称将方程进行相似约化,求出了Broer-Kaup方程的几种不变解,该方法可以用于研究更高阶的偏微分方程。Broer-Kaup equation was discussed herein.And the Lie point symmetries of Broer-Kaup equation was found through the Lie group method.Using the obtained point symmetries,similarity reductions were derived,and invariant solutions were found to the equation as being concerned.The method can be used to study the higher-order partial differential equations.

关 键 词：BROER-KAUP方程 Lie点对称 相似约化 不变解 

分 类 号：O175[理学—数学]