| In this paper,we study the Darboux transformation of the modified Belov-Chaltikian lattice and its explicit solution.Firstly,a 3 × 3 semi-discrete matrix spectral problem and its auxiliary spectral problem are introduced,and the modified Belov-Chaltikian lattice is derived by using the semi-discrete zero curvature equation.Then,the Darboux transformation of the modified Belov-Chaltikian lattice is obtained by means of the gauge transformation and the related proofs are given in theory.Finally,from the "seed solution",a new exact solution is given by using the Darboux transformation. |
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