Abstract

In this article, a new transformation mapping the variable-coefficient Modified Kortweg-de Vries (VC-MKdV) equation to the usual coefficient Modified Kortweg-de Vries (MKdV) equation is given. And then we will give some new solutions of the VC-MKdV equation with the known solutions of the usual MKdV equation. At last the tracks of the new solutions for the VC-MKdV equation are well analysed and ploted.

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