Whitham deformations of top-like integrable dynamical systems

DOI10.1007/BF01085982zbMath0809.34011MaRDI QIDQ1335888

Victor Yu. Novokshenov

Publication date: 8 November 1994

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

zbMATH Keywords

Baker-Akhiezer functiondeformationsRiemann surfaceAbelian integralsWhitham equationfinite-gap integration methodquasi-periodic flow

Mathematics Subject Classification ID

Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Ordinary differential equations in the complex domain (34M99) Periodic and quasi-periodic flows and diffeomorphisms (37C55)

Related Items (2)

Whitham gap dynamics of the real-valued solution of the sine-Gordon equation with finite-gap boundary conditions ⋮ Parametric resonance in integrable systems and averaging on Riemann surfaces

Cites Work

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• The Kowalewski top 99 years later: a Lax pair, generalizations and explicit solutions
• Theta functions on Riemann surfaces
• Hydrodynamics of weakly deformed soliton lattices. Differential geometry and Hamiltonian theory
• The hyperbolic nature of the zero dispersion Kdv limit
• Multiphase averaging and the inverse spectral solution of the Korteweg—de Vries equation

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