Shape changing and accelerating solitons in integrable variable mass sine-Gordon model
High Energy Physics - Theory
2016-09-06 v2 Other Condensed Matter
Statistical Mechanics
Mathematical Physics
Dynamical Systems
math.MP
Adaptation and Self-Organizing Systems
Exactly Solvable and Integrable Systems
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.
Cite
@article{arxiv.hep-th/0703219,
title = {Shape changing and accelerating solitons in integrable variable mass sine-Gordon model},
author = {Anjan Kundu},
journal= {arXiv preprint arXiv:hep-th/0703219},
year = {2016}
}
Comments
6 pages, 4 figures, revised with more physical input, to be published in Phys. Rev. Lett