利用广义屠格式从一个2+1维等谱问题建立了一个新的2+1维可积方程族。通过约化可以得到广义BPT族。进一步通过扩大的等谱问题获得了一个广义BPT族的可积耦合。提出的方法可以利用到其他方程族中。
By making use of the generalized Tu scheme,a(2+1)-dimensional isospectral problem is considered,and then a new(2+1)-dimensional integrable hierarchy is constructed.It is shown that the generalized BPT hierarchy can be obtained as a reduction.Further,based on an extending isospectral problem,an integrable couplings of the(2+1)-dimensional integrable hierarchy of the generalized BPT hierarchy is produced.The method can be applied to obtain other(2+1)-dimensional integrable hierarchy.