Integro-differential nonlinear equations and continual Lie algebras

DOI10.1007/BF01217807zbMath0664.45006MaRDI QIDQ1114890

Mikhail V. Saveliev

Publication date: 1989

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

nonlinearToda latticeplasma physicssingular kernelscontinual Lie algebras

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Infinite-dimensional Lie (super)algebras (17B65) Singular nonlinear integral equations (45G05)

Related Items (10)

On the integrability problem of a continuous Toda system ⋮ Particle-like, dyx-coaxial and trix-coaxial Lie algebra structures for a multi-dimensional continuous Toda type system ⋮ Reduction cohomology of Riemann surfaces ⋮ On non-Abelian T-dual geometries with Ramond fluxes ⋮ Topological-antitopological fusion and the large-\(N\) \({\mathbb{C}}\text{P}^N\) model ⋮ The structure of the \(W_ \infty\) algebra ⋮ Solution of the Cauchy problem for a continuous limit of the Toda lattice and its superextension ⋮ The simplest cohomological invariants for vertex algebras ⋮ On some integrable generalizations of the continuous Toda system ⋮ A Schur-Horn-Kostant convexity theorem for the diffeomorphism group of the annulus

Cites Work

• Representation of zero curvature for the system of nonlinear partial differential equations \(x_{\alpha,z\bar z}=\exp(kx)_\alpha\) and its integrability
• A simple one‐dimensional model for the three‐dimensional vorticity equation
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