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.
出处
《黑龙江大学自然科学学报》
CAS
北大核心
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)
关键词
LIE代数
分数阶可积方程族
可积系统
Lie algebra
fractional integrable equation hierarchy
integrable system
