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arXiv · 1004.3488

Nonautonomous mixed mKdV-sinh-Gordon hierarchy

J. F. Gomes·G. R. de Melo·L. H. Ymai·A. H. Zimerman
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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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J. F. Gomes, G. R. de Melo, L. H. Ymai, A. H. Zimerman. 2010-04-20. Nonautonomous mixed mKdV-sinh-Gordon hierarchy. https://doi.org/10.1088/1751-8113/43/39/395203

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