Multiscale limit for finite-gap Sine-Gordon Solutions and Calculation of Topological Charge using Theta-functional Formulae
Mathematical Physics
2009-04-30 v1 math.MP
Abstract
In this paper, we introduce the so-called multiscale limit for spectral curves, associated with real finite-gap Sine-Gordon solutions. This technique allows to solve the old problem of calculating the density of topological charge for real finite-gap Sine-Gordon solutions directly from the -functional formulas.
Keywords
Cite
@article{arxiv.0904.4520,
title = {Multiscale limit for finite-gap Sine-Gordon Solutions and Calculation of Topological Charge using Theta-functional Formulae},
author = {P. G. Grinevich and K. V. Kaipa},
journal= {arXiv preprint arXiv:0904.4520},
year = {2009}
}
Comments
Accepted for publication in Volume 266 No. 3, of Proceedings of the Steklov Institute of Mathematics, 10 pages