Real finite-zone solutions of the sine-Gordon equation: a formula for the topological charge

DOI10.1070/RM2001v056n05ABEH000443zbMath1057.37066MaRDI QIDQ4820916

S. P. Novikov, Petr G. Grinevich

Publication date: 1 October 2004

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

zbMATH Keywords

quasi-periodic functionsfinite gap solutions

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)

Related Items (5)

Effective integration of ultra-elliptic solutions of the focusing nonlinear Schrödinger equation ⋮ Topological phenomena in the real periodic sine-Gordon theory ⋮ On minimal isotropic tori in \(\mathbb{C}P^3\) ⋮ Bounded ultra-elliptic solutions of the defocusing nonlinear Schrödinger equation ⋮ Multiscale limit for finite-gap sine-Gordon solutions and calculation of topological charge using theta-functional formulae

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