Nonautonomous mixed mKdV-sinh-Gordon hierarchy
arXiv:1004.3488 · doi:10.1088/1751-8113/43/39/395203
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.
14 pages 5 figures, Latex Revised improved version