Shape changing and accelerating solitons in integrable variable mass sine-Gordon model

Details Shape changing and accelerating solitons in integrable variable mass sine-Gordon model Shape changing and accelerating solitons in integrable variable mass sine-Gordon model

2007-03-25

arxiv.org/abs/hep-th/0703219v2

Phys.Rev.Lett.99:154101,2007

Physics

High Energy Physics

High Energy Physics - Theory

6 pages, 4 figures, revised with more physical input, to be published in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.99.154101

Sine-Gordon model with variable mass (VMSG) appears in many physical systems, ranging from the current through nonuniform Josephson junction to DNA-promoter dynamics. Such models are usually nonintegrable with solutions found numerically or peturbatively. We construct a class of VMSG models, integrable both at classical and quantum level with exact soliton solutions, which can accelerate, change their shape, width and amplitude simulating realistic inhomogeneous systems at certain limits.

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