Abstract
•A generalized Ablowitz-Kaup-Newell-Segur hierarchy has been constructed, it turns out to be integrable.•Equation (2) has been solved by the Darboux transformation, and the soliton solutions have been presented.•Two special cases of the solutions and the dynamical properties have been discussed.
A generalized Ablowitz-Kaup-Newell-Segur hierarchy of integrable equation from zero curvature equation is constructed based on the special orthogonal Lie algebra so(3, R), and the second equation is solved by the Darboux transformation. Besides, the soliton solutions are presented with the help of symbolic computation. Two special cases are given to make the solution more intuitive, and the dynamical properties of the solutions are discussed through the analysis of the graphics.