Lie algebras and Korteweg-de Vries equations

DOI10.1016/0167-2789(87)90033-9zbMath0643.35102OpenAlexW1977260286MaRDI QIDQ1101903

Boris A. Kupershmidt

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0167-2789(87)90033-9

zbMATH Keywords

Lie algebraKorteweg-de Vries equationPoisson mapbi-invariant two-formgeneralized cocycle

Mathematics Subject Classification ID

Partial differential equations of mathematical physics and other areas of application (35Q99) Lie algebras and Lie superalgebras (17B99)

Related Items (6)

On Symmetries of Chern-Simons and BF Topological Theories ⋮ An \(r\)-matrix interpretation of modified systems ⋮ Algebraic structure of the gradient-holonomic algorithm for Lax integrable nonlinear dynamical systems. I ⋮ Discretization of nonlinear evolution equations over associative function algebras ⋮ Hamiltonian and super-Hamiltonian extensions related to Broer-Kaup-Kupershmidt system ⋮ Integrable systems, multicomponent twisted Heisenberg-Virasoro algebra and its central extensions

Cites Work

• Nonlinear Schrödinger equations and simple Lie algebras
• Lie algebras and equations of Korteweg-de Vries type
• Algebraic aspects of nonlinear differential equations
• Modifying Lax equations and the second Hamiltonian structure
• Derivative nonlinear Schrodinger equations and Hermitian symmetric spaces
• The modified Lax and two-dimensional Toda lattice equations associated with simple Lie algebras
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