Holomorphic bundles and nonlinear equations

DOI10.1016/0167-2789(81)90132-9zbMath1194.37104OpenAlexW2078156855WikidataQ101085993 ScholiaQ101085993MaRDI QIDQ995046

S. P. Novikov, I. M. Krichever

Publication date: 13 September 2010

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(81)90132-9

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Relationships between algebraic curves and integrable systems (14H70)

Related Items (4)

Method of the inverse scattering problem with spectral parameter on an algebraic curve ⋮ Krichever–Novikov algebras on Riemann surfaces of genus zero and one with N punctures ⋮ Commuting ordinary differential operators and the Dixmier test ⋮ Families of orthogonal Laurent polynomials, hyperelliptic lie algebras and elliptic integrals

Cites Work

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• Bounds on the number of eigenvalues of the Schrödinger operator
• Integrable Hamiltonian systems and interactions through quadratic constraints
• Hill's operator and hyperelliptic function theory in the presence of infinitely many branch points

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