Nonautonomous mixed mKdV-sinh-Gordon hierarchy

Details Nonautonomous mixed mKdV-sinh-Gordon hierarchy Nonautonomous mixed mKdV-sinh-Gordon hierarchy

2010-04-20

arxiv.org/abs/1004.3488v2

J. Phys. A: Math. Theor. 43 (2010) 395203

Nonlinear Sciences

Exactly Solvable and Integrable Systems

14 pages 5 figures, Latex Revised improved version

Scientific paper

10.1088/1751-8113/43/39/395203

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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