Algebrotopological approach to the reality problem. Real action variables in the theory of finite-zone solutions of the sine-Gordon equation
type: Item
instance of: scholarly article
title: Algebrotopological approach to the reality problem. Real action variables in the theory of finite-zone solutions of the sine-Gordon equation
zbMATH Open document ID: 0582.35104
DOI: 10.1007/BF02107239
published in: Journal of Soviet Mathematics
publication date: 1985-01-01T00:00:00Z
review text: Translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 133, 177-196 (Russian) (1984; Zbl 0546.35071).
Mathematics Subject Classification ID: 35Q99
Mathematics Subject Classification ID: 30F20
Mathematics Subject Classification ID: 37J99
zbMATH DE Number: 3931608
zbMATH Keywords: real finite gap solutions
zbMATH Keywords: sine-Gordon equation
zbMATH Keywords: finite gap families
zbMATH Keywords: complex solutions
zbMATH Keywords: Hamiltonian formalism
zbMATH Keywords: algebraic-geometric approach
zbMATH Keywords: real action variables
zbMATH Keywords: quasiclassical quantization
zbMATH Keywords: slow modulation
MaRDI profile type: Publication
cites work: Q4090743
cites work: Real two-zone solutions of the sine-Gordon equation
cites work: Canonically conjugate variables for the Korteweg-de Vries equation and the Toda lattice with periodic boundary conditions.
cites work: Q3331653
cites work: Poisson brackets and complex tori
cites work: On stationary problems for equations of korteweg-de vries type
cites work: Q4103883
cites work: Q4108698
cites work: The sine-gordon and sinh-gordon equations on the circle
cites work: Q3952504
cites work: Q4134307
cites work: Q3882827
cites work: Q3966538
author: S. P. Novikov
description: scientific article; zbMATH DE number 3931608