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High Energy Physics - Theory

arXiv:hep-th/0703219 (hep-th)
[Submitted on 25 Mar 2007 (v1), last revised 6 Sep 2007 (this version, v2)]

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

Authors:Anjan Kundu
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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.
Comments: 6 pages, 4 figures, revised with more physical input, to be published in Phys. Rev. Lett
Subjects: High Energy Physics - Theory (hep-th); Other Condensed Matter (cond-mat.other); Statistical Mechanics (cond-mat.stat-mech); Mathematical Physics (math-ph); Dynamical Systems (math.DS); Adaptation and Self-Organizing Systems (nlin.AO); Exactly Solvable and Integrable Systems (nlin.SI)
Cite as: arXiv:hep-th/0703219
  (or arXiv:hep-th/0703219v2 for this version)
  https://doi.org/10.48550/arXiv.hep-th/0703219
Journal reference: Phys.Rev.Lett.99:154101,2007
Related DOI: https://doi.org/10.1103/PhysRevLett.99.154101

Submission history

From: Anjan Kundu [view email]
[v1] Sun, 25 Mar 2007 11:47:03 UTC (138 KB)
[v2] Thu, 6 Sep 2007 13:39:53 UTC (668 KB)
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