一个分数阶Broer-Kaup可积方程族（英文）

A fractional Broer-Kaup integrable equation hierarchy

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.