The Darboux Transformation Of Two Soliton Equations Associated With3×3Matrix Spectral Problem And Its Exact Solutions

In this paper,the Darboux transformation of two soliton equations associated with3x3matrix spectral problem is studied. Starting with the matrix spectral problem, the Darboux transformation of it is constructed respectively, prove our results in the terms of the theory, and obtain the general expression of its hierarchy of equations by use of their own Darboux transformation.from its trivial seeds u=w=0and v=w=0,u=1, its explicit solutions are gotten.with the help of mathematica software, some figures are plotted.