Differential-difference AKNS equations and homogeneous Heisenberg algebras

DOI10.1063/1.527658zbMath0663.35065OpenAlexW1991220478MaRDI QIDQ3812657

Maarten Bergvelt, A. P. E. ten Kroode

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1063/1.527658

zbMATH Keywords

Kac-Moody algebrasevolution equationsAKNS systemsdifferential-difference equationshomogeneous Heisenberg algebras

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Partial functional-differential equations (35R10) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (7)

The structure of Hilbert flag varieties ⋮ The Hermitian matrix model and homogeneous spaces ⋮ HAMILTONIAN STRUCTURES OF TWO INTEGRABLE COUPLINGS OF THE MODIFIED AKNS HIERARCHY ⋮ τ functions and zero curvature equations of Toda–AKNS type ⋮ A geometric construction of solutions of the strict \(\mathbf{h}\)-hierarchy ⋮ Four Lie algebras associated with R6 and their applications ⋮ The geometry of differential difference equations

Cites Work

• Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. III
• Lie algebras and equations of Korteweg-de Vries type
• The homogeneous realization of the basic representation of \(A_ 1^{(1)}\) and the Toda lattice
• Integrable nonlinear equations and Liouville's theorem. I
• The modified Lax and two-dimensional Toda lattice equations associated with simple Lie algebras

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