Method of the inverse scattering problem with spectral parameter on an algebraic curve

DOI10.1007/BF01076715zbMath0596.35120WikidataQ61835438 ScholiaQ61835438MaRDI QIDQ1078427

Alexander V. Mikhailov, Vladimir E. Zakharov

Publication date: 1983

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

zbMATH Keywords

hyperelliptic curvesalgebraic curveRiemann-Roch theoreminverse scattering problemnonlinear integrable equations

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Inverse problems for PDEs (35R30) Special algebraic curves and curves of low genus (14H45) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)

Related Items (1)

A Lie theoretic Galois theory for the spectral curves of an integrable system. I

Cites Work

• The Riemann boundary problem on a torus and the inverse scattering problem for the Landau-Lifschitz equation
• The reduction problem and the inverse scattering method
• Holomorphic bundles and nonlinear equations
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