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

Abstract

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.

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

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Cited by in corpus (7)

• Scaling approach to quantum non-equilibrium dynamics of many-body systems
• Quantum and classical integrable sine-Gordon model with defect
• Soliton scattering as a measurement tool for weak signals
• Analogue Hawking Radiation and Sine-Gordon Soliton in a Superconducting Circuit
• Study of models of the sine-Gordon type in flat and curved spacetime
• New family of sine-Gordon models
• Bäcklund transformations of $Z_n$-Sine-Gordon systems