Completely integrable systems of the KdV type related to isospectral periodic regular difference operators

DOI10.1007/BF00046587zbMath0616.35079OpenAlexW3020865767MaRDI QIDQ1821275

Yanyan Li

Publication date: 1986

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00046587

zbMATH Keywords

coadjoint orbitsfinite zone solutionsCompletely integrable KdV systemsisospectral classesperiodic regular difference operators

Mathematics Subject Classification ID

Partial differential equations of mathematical physics and other areas of application (35Q99) Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds (58J72)

Related Items

Bäcklund equations on Kac-Moody-Lie algebras and integrable systems

Cites Work

• Bäcklund equations on Kac-Moody-Lie algebras and integrable systems
• Completely integrable systems, Euclidean Lie algebras, and curves
• Modifying Lax equations and the second Hamiltonian structure
• The spectrum of difference operators and algebraic curves
• The spectrum of Hill's equation
• Theta functions and non-linear equations