Abstract
The construction of a nonautonomous mixed mKdV/sine–Gordon model is proposed by employing an infinite-dimensional affine Lie algebraic structure within the zero-curvature representation. A systematic construction of soliton solutions is provided by an adaptation of the dressing method which takes into account arbitrary time-dependent functions. A particular choice of those arbitrary functions provides an interesting solution describing the transition of a pure mKdV system into a pure sine–Gordon soliton.
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