Nonautonomous mixed mKdV-sinh-Gordon hierarchy
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Iop Publishing Ltd
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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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English
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Journal of Physics A-mathematical and Theoretical. Bristol: Iop Publishing Ltd, v. 43, n. 39, p. 9, 2010.
