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arXiv · 0904.4520

Multiscale limit for finite-gap Sine-Gordon Solutions and Calculation of Topological Charge using Theta-functional Formulae

P. G. Grinevich·K. V. Kaipa
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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 $θ$-functional formulas.

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P. G. Grinevich, K. V. Kaipa. 2009-04-29. Multiscale limit for finite-gap Sine-Gordon Solutions and Calculation of Topological Charge using Theta-functional Formulae. https://arxiv.org/abs/0904.4520

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