The Zero Curvature Form of Integrable Hierarchies in the ℤ × ℤ-Matrices

DOI10.1142/S1005386712000168zbMath1243.22020MaRDI QIDQ2883146

A. V. Opimakh, Gerardus F. Helminck

Publication date: 11 May 2012

Published in: Algebra Colloquium (Search for Journal in Brave)

Full work available at URL: http://worldscinet.com/ac/19/1902/S1005386712000168.html

zbMATH Keywords

linearizationLax equationszero curvature formwave matricesupper triangular \(\mathbb Z \times \mathbb Z\)-matrices

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Group structures and generalizations on infinite-dimensional manifolds (58B25)

Related Items (3)

Equivalent forms of multi component Toda hierarchies ⋮ Reprint of: Equivalent forms of multi component Toda hierarchies ⋮ The relative frame bundle of an infinite-dimensional flag variety and solutions of integrable hierarchies

Cites Work

• The relative frame bundle of an infinite-dimensional flag variety and solutions of integrable hierarchies
• The equivariant Gromov-Witten theory of \(\mathbb P^1\)
• Melting crystal, quantum torus and Toda hierarchy
• Commuting flows and conservation laws for Lax equations
• Integrals of nonlinear equations of evolution and solitary waves

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