Algebrotopological approach to the reality problem. Real action variables in the theory of finite-zone solutions of the sine-Gordon equation

DOI10.1007/BF02107239zbMath0582.35104MaRDI QIDQ1069060

S. P. Novikov

Publication date: 1985

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

zbMATH Keywords

Hamiltonian formalismsine-Gordon equationslow modulationcomplex solutionsalgebraic-geometric approachfinite gap familiesquasiclassical quantizationreal action variablesreal finite gap solutions

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Partial differential equations of mathematical physics and other areas of application (35Q99) Classification theory of Riemann surfaces (30F20)

Related Items (1)

Topological phenomena in the real periodic sine-Gordon theory

Cites Work

• Real two-zone solutions of the sine-Gordon equation
• Poisson brackets and complex tori
• Canonically Conjugate Variables for the Korteweg-de Vries Equation and the Toda Lattice with Periodic Boundary Conditions
• On stationary problems for equations of korteweg-de vries type
• The sine-gordon and sinh-gordon equations on the circle
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