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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2009, Volume 266, Pages 54–63 (Mi tm1882)  
Multiscale Limit for Finite-Gap Sine-Gordon Solutions and Calculation of Topological Charge Using Theta-Functional Formulae

P. G. Grinevicha, K. V. Kaipab

a Landau Institute for Theoretical Physics, Russian Academy of Sciences, Moscow, Russia
b Department of Mathematics, University of Maryland, College Park, MD, USA
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Abstract: We introduce the so-called multiscale limit for spectral curves associated with real finite-gap sine-Gordon solutions. This technique allows us to solve the old problem of calculating the density of the topological charge for real finite-gap sine-Gordon solutions directly from the $\theta$-functional formulae.
Received in April 2009
English version:
Proceedings of the Steklov Institute of Mathematics, 2009, Volume 266, Pages 49–58
DOI: https://doi.org/10.1134/S0081543809030031
Bibliographic databases:
UDC: 517.958
Language: Russian
Citation: P. G. Grinevich, K. V. Kaipa, “Multiscale Limit for Finite-Gap Sine-Gordon Solutions and Calculation of Topological Charge Using Theta-Functional Formulae”, Geometry, topology, and mathematical physics. II, Collected papers. Dedicated to Academician Sergei Petrovich Novikov on the occasion of his 70th birthday, Trudy Mat. Inst. Steklova, 266, MAIK Nauka/Interperiodica, Moscow, 2009, 54–63; Proc. Steklov Inst. Math., 266 (2009), 49–58
Citation in format AMSBIB
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\paper Multiscale Limit for Finite-Gap Sine-Gordon Solutions and Calculation of Topological Charge Using Theta-Functional Formulae
\inbook Geometry, topology, and mathematical physics.~II
\bookinfo Collected papers. Dedicated to Academician Sergei Petrovich Novikov on the occasion of his 70th birthday
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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