Multiscale limit for finite-gap Sine-Gordon Solutions and Calculation of Topological Charge using Theta-functional Formulae
Abstract
Description
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 $θ$-functional formulas.
Accepted for publication in Volume 266 No. 3, of Proceedings of the Steklov Institute of Mathematics, 10 pages
Accepted for publication in Volume 266 No. 3, of Proceedings of the Steklov Institute of Mathematics, 10 pages