一个分数阶Broer-Kaup可积方程族（英文）  

A fractional Broer-Kaup integrable equation hierarchy

作　　者：魏晓丽[1] 

机构地区：[1]辽宁石油化工大学理学院,抚顺113001

出　　处：《黑龙江大学自然科学学报》2015年第6期711-714,共4页Journal of Natural Science of Heilongjiang University

基　　金：Supported by the National Nature Science Foundation of China(11401392);the Scientific Research Fund of Liaoning Provincial Education Department(L2015378)

摘　　要：给出一个建立分数阶非线性可积孤子方程族的方法。引入一个4×4矩阵圈代数,利用此圈代数建立一个含有四个位势的分数阶等谱问题;通过分数阶零曲率方程,得到一个Broer-Kaup可积方程族的分数阶非线性可积耦合。A scheme is presented for constructing integrable nonlinear fractional soliton equation hierar- chy. A 4 ×4 matrix loop algebra is first introduced isospectral problem with four potentials is established ear fractional integrable couplings of the Broer-Kauo , then, based on the loop algebra, a fractional By fractional zero curvature integrable euuation hierarchv equations, the nonlin- are nhtained.

关 键 词：LIE代数 分数阶可积方程族 可积系统 

分 类 号：O29[理学—应用数学]