Abstract
Darboux transformation (DT) approach is used to investigate a three-component modified Korteweg–de Vries (mKdV) equation. With the help of a gauge transformation between the corresponding Lax pairs, an N-fold DT of the three-component mKdV equation is obtained, which is expressed in terms of a quasi-determinant. As applications of the DT, various kinds of explicit solutions of the three-component mKdV equation are constructed.
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