Topological charge of the real periodic finite‐gap Sine‐Gordon solutions

DOI10.1002/cpa.10081zbMath1044.35071arXivmath-ph/0111039OpenAlexW2005597436MaRDI QIDQ4425986

S. P. Novikov, Petr G. Grinevich

Publication date: 15 September 2003

Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0111039

zbMATH Keywords

topological chargesine-Gordon equationinverse spectral dataFourier-Laurent integral transformKrichever-Novikov bases

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)

Related Items (2)

The Sturm-Liouville Hierarchy of Evolution Equations II ⋮ Multiscale limit for finite-gap sine-Gordon solutions and calculation of topological charge using theta-functional formulae

Cites Work

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• Periodic solutions of the KdV equation

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