Variations of the complex structure of Riemann surfaces by vector fields on a contour and objects of the KP theory. The Krichever-Novikov problem of the action on the Baker-Akhieser functions

DOI10.1007/BF01077923zbMath0719.30037MaRDI QIDQ2639994

Petr G. Grinevich, Alexander Yu. Orlov

Publication date: 1990

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

zbMATH Keywords

Baker-Akhiezer functionKrichever-Novikov problem

Mathematics Subject Classification ID

Topological dynamics (37B99) Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Families, moduli of curves (analytic) (14H15) Riemann surfaces (30F99)

Related Items

CRE solvability, exact soliton-cnoidal wave interaction solutions, and nonlocal symmetry for the modified Boussinesq equation, A geometry for multidimensional integrable systems, Non-local Virasoro symmetries in the mKdV hierarchy, Krichever-Novikov algebras, their representations and applications in geometry and mathematical physics, The symmetric, \(d\)-invariant and Egorov reductions of the quadrilateral lattice

Cites Work

• Unnamed Item
• Loop groups and equations of KdV type
• Determinant bundles and Virasoro algebras
• Interpolation of quasilinear operators and inequalities for entire functions in symmetric spaces
• Additional symmetries for integrable equations and conformal algebra representation