Topological phenomena in the real periodic sine-Gordon theory

DOI10.1063/1.1588742zbMath1062.35114arXivmath-ph/0303039OpenAlexW3102615949MaRDI QIDQ4833056

S. P. Novikov, Petr G. Grinevich

Publication date: 14 December 2004

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0303039

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53)

Related Items (1)

Singular solitons and spectral meromorphy

Cites Work

• Real two-zone solutions of the sine-Gordon equation
• Algebrotopological approach to the reality problem. Real action variables in the theory of finite-zone solutions of the sine-Gordon equation
• The geometry of real sine-Gordon wavetrains
• Hamiltonian structure for the modulation equations of a sine-Gordon wavetrain
• The periodic problem for the Korteweg-de Vries equation
• Hill's operator with finitely many gaps
• The spectrum of Hill's equation
• Periodic problems for the Korteweg-de Vries equation in the class of finite band potentials
• Canonically Conjugate Variables for the Korteweg-de Vries Equation and the Toda Lattice with Periodic Boundary Conditions
• Periodic solutions of the KdV equation
• NON-LINEAR EQUATIONS OF KORTEWEG-DE VRIES TYPE, FINITE-ZONE LINEAR OPERATORS, AND ABELIAN VARIETIES
• Moduli of real algebraic surfaces, and their superanalogues. Differentials, spinors, and Jacobians of real curves
• Real finite-zone solutions of the sine-Gordon equation: a formula for the topological charge

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